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Finding the Fourth Proportional to 111.13, 166.52 and 42.61

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Solution

The fourth proportional to 111.13, 166.52 and 42.61 is: 63.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.13 : 166.52 = 42.61 : x
  2. Step 2: Convert to fraction form
    111.13/166.52 = 42.61/x
  3. Step 3: Cross multiply
    111.13x = 166.52 × 42.61
  4. Step 4: Simplify right side
    111.13x = 7,095.42
  5. Step 5: Solve for x
    x = 7,095.42/111.13
  6. Step 6: Final answer
    x = 63.85

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