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Finding the Fourth Proportional to 12.71, 18.98 and 9.32

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Solution

The fourth proportional to 12.71, 18.98 and 9.32 is: 13.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.71 : 18.98 = 9.32 : x
  2. Step 2: Convert to fraction form
    12.71/18.98 = 9.32/x
  3. Step 3: Cross multiply
    12.71x = 18.98 × 9.32
  4. Step 4: Simplify right side
    12.71x = 176.84
  5. Step 5: Solve for x
    x = 176.84/12.71
  6. Step 6: Final answer
    x = 13.92

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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.