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Finding the Fourth Proportional to 16, 22.08 and 15.76

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Solution

The fourth proportional to 16, 22.08 and 15.76 is: 21.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16 : 22.08 = 15.76 : x
  2. Step 2: Convert to fraction form
    16/22.08 = 15.76/x
  3. Step 3: Cross multiply
    16x = 22.08 × 15.76
  4. Step 4: Simplify right side
    16x = 347.98
  5. Step 5: Solve for x
    x = 347.98/16
  6. Step 6: Final answer
    x = 21.75

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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.