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Finding the Fourth Proportional to 16.71, 24.96 and 15.30

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Solution

The fourth proportional to 16.71, 24.96 and 15.30 is: 22.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.71 : 24.96 = 15.30 : x
  2. Step 2: Convert to fraction form
    16.71/24.96 = 15.30/x
  3. Step 3: Cross multiply
    16.71x = 24.96 × 15.30
  4. Step 4: Simplify right side
    16.71x = 381.89
  5. Step 5: Solve for x
    x = 381.89/16.71
  6. Step 6: Final answer
    x = 22.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.