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Finding the Fourth Proportional to 115.74, 159.75 and 69.14

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Solution

The fourth proportional to 115.74, 159.75 and 69.14 is: 95.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.74 : 159.75 = 69.14 : x
  2. Step 2: Convert to fraction form
    115.74/159.75 = 69.14/x
  3. Step 3: Cross multiply
    115.74x = 159.75 × 69.14
  4. Step 4: Simplify right side
    115.74x = 11,044.87
  5. Step 5: Solve for x
    x = 11,044.87/115.74
  6. Step 6: Final answer
    x = 95.43

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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.