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Finding the Fourth Proportional to 113.30, 169.91 and 61.89

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Solution

The fourth proportional to 113.30, 169.91 and 61.89 is: 92.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.30 : 169.91 = 61.89 : x
  2. Step 2: Convert to fraction form
    113.30/169.91 = 61.89/x
  3. Step 3: Cross multiply
    113.30x = 169.91 × 61.89
  4. Step 4: Simplify right side
    113.30x = 10,515.42
  5. Step 5: Solve for x
    x = 10,515.42/113.30
  6. Step 6: Final answer
    x = 92.81

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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.