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Finding the Fourth Proportional to 16, 22.04 and 12.76

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Solution

The fourth proportional to 16, 22.04 and 12.76 is: 17.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16 : 22.04 = 12.76 : x
  2. Step 2: Convert to fraction form
    16/22.04 = 12.76/x
  3. Step 3: Cross multiply
    16x = 22.04 × 12.76
  4. Step 4: Simplify right side
    16x = 281.23
  5. Step 5: Solve for x
    x = 281.23/16
  6. Step 6: Final answer
    x = 17.58

Related Problems

Find fourth proportional to 8, 11.02 and 6.38
Half scale
Find fourth proportional to 32, 44.08 and 25.52
Double scale
Find fourth proportional to 17, 23.42 and 13.76
Similar ratio
Find fourth proportional to 24, 33.06 and 19.14
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.