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Finding the Fourth Proportional to 69.32, 95.42 and 61.13

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Solution

The fourth proportional to 69.32, 95.42 and 61.13 is: 84.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.32 : 95.42 = 61.13 : x
  2. Step 2: Convert to fraction form
    69.32/95.42 = 61.13/x
  3. Step 3: Cross multiply
    69.32x = 95.42 × 61.13
  4. Step 4: Simplify right side
    69.32x = 5,832.24
  5. Step 5: Solve for x
    x = 5,832.24/69.32
  6. Step 6: Final answer
    x = 84.14

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Why These Related Problems?

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