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Finding the Fourth Proportional to 115.62, 159.45 and 71.91

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Solution

The fourth proportional to 115.62, 159.45 and 71.91 is: 99.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.62 : 159.45 = 71.91 : x
  2. Step 2: Convert to fraction form
    115.62/159.45 = 71.91/x
  3. Step 3: Cross multiply
    115.62x = 159.45 × 71.91
  4. Step 4: Simplify right side
    115.62x = 11,466.05
  5. Step 5: Solve for x
    x = 11,466.05/115.62
  6. Step 6: Final answer
    x = 99.17

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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.