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Finding the Fourth Proportional to 21.74, 32.54 and 14.60

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Solution

The fourth proportional to 21.74, 32.54 and 14.60 is: 21.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.74 : 32.54 = 14.60 : x
  2. Step 2: Convert to fraction form
    21.74/32.54 = 14.60/x
  3. Step 3: Cross multiply
    21.74x = 32.54 × 14.60
  4. Step 4: Simplify right side
    21.74x = 474.85
  5. Step 5: Solve for x
    x = 474.85/21.74
  6. Step 6: Final answer
    x = 21.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.