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Finding the Fourth Proportional to 116.15, 174.11 and 61.98

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Solution

The fourth proportional to 116.15, 174.11 and 61.98 is: 92.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.15 : 174.11 = 61.98 : x
  2. Step 2: Convert to fraction form
    116.15/174.11 = 61.98/x
  3. Step 3: Cross multiply
    116.15x = 174.11 × 61.98
  4. Step 4: Simplify right side
    116.15x = 10,791.03
  5. Step 5: Solve for x
    x = 10,791.03/116.15
  6. Step 6: Final answer
    x = 92.91

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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.