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Finding the Fourth Proportional to 10.71, 16.07 and 9.20

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Solution

The fourth proportional to 10.71, 16.07 and 9.20 is: 13.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.71 : 16.07 = 9.20 : x
  2. Step 2: Convert to fraction form
    10.71/16.07 = 9.20/x
  3. Step 3: Cross multiply
    10.71x = 16.07 × 9.20
  4. Step 4: Simplify right side
    10.71x = 147.84
  5. Step 5: Solve for x
    x = 147.84/10.71
  6. Step 6: Final answer
    x = 13.80

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