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Finding the Fourth Proportional to 10.62, 15.86 and 9.11

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Solution

The fourth proportional to 10.62, 15.86 and 9.11 is: 13.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.62 : 15.86 = 9.11 : x
  2. Step 2: Convert to fraction form
    10.62/15.86 = 9.11/x
  3. Step 3: Cross multiply
    10.62x = 15.86 × 9.11
  4. Step 4: Simplify right side
    10.62x = 144.55
  5. Step 5: Solve for x
    x = 144.55/10.62
  6. Step 6: Final answer
    x = 13.61

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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.