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Finding the Fourth Proportional to 116.14, 160.24 and 69.47

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Solution

The fourth proportional to 116.14, 160.24 and 69.47 is: 95.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.14 : 160.24 = 69.47 : x
  2. Step 2: Convert to fraction form
    116.14/160.24 = 69.47/x
  3. Step 3: Cross multiply
    116.14x = 160.24 × 69.47
  4. Step 4: Simplify right side
    116.14x = 11,131.87
  5. Step 5: Solve for x
    x = 11,131.87/116.14
  6. Step 6: Final answer
    x = 95.85

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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.