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Finding the Fourth Proportional to 116.47, 174.58 and 58.61

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Solution

The fourth proportional to 116.47, 174.58 and 58.61 is: 87.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.47 : 174.58 = 58.61 : x
  2. Step 2: Convert to fraction form
    116.47/174.58 = 58.61/x
  3. Step 3: Cross multiply
    116.47x = 174.58 × 58.61
  4. Step 4: Simplify right side
    116.47x = 10,230.97
  5. Step 5: Solve for x
    x = 10,230.97/116.47
  6. Step 6: Final answer
    x = 87.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.