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Finding the Fourth Proportional to 116.60, 161.13 and 87.44

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Solution

The fourth proportional to 116.60, 161.13 and 87.44 is: 120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.60 : 161.13 = 87.44 : x
  2. Step 2: Convert to fraction form
    116.60/161.13 = 87.44/x
  3. Step 3: Cross multiply
    116.60x = 161.13 × 87.44
  4. Step 4: Simplify right side
    116.60x = 14,089.21
  5. Step 5: Solve for x
    x = 14,089.21/116.60
  6. Step 6: Final answer
    x = 120.83

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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.