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Finding the Fourth Proportional to 15.97, 23.86 and 14.15

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Solution

The fourth proportional to 15.97, 23.86 and 14.15 is: 21.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.97 : 23.86 = 14.15 : x
  2. Step 2: Convert to fraction form
    15.97/23.86 = 14.15/x
  3. Step 3: Cross multiply
    15.97x = 23.86 × 14.15
  4. Step 4: Simplify right side
    15.97x = 337.57
  5. Step 5: Solve for x
    x = 337.57/15.97
  6. Step 6: Final answer
    x = 21.13

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