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Finding the Fourth Proportional to 10.16, 14.03 and 7.71

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Solution

The fourth proportional to 10.16, 14.03 and 7.71 is: 10.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.16 : 14.03 = 7.71 : x
  2. Step 2: Convert to fraction form
    10.16/14.03 = 7.71/x
  3. Step 3: Cross multiply
    10.16x = 14.03 × 7.71
  4. Step 4: Simplify right side
    10.16x = 108.17
  5. Step 5: Solve for x
    x = 108.17/10.16
  6. Step 6: Final answer
    x = 10.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.