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Finding the Fourth Proportional to 111.53, 167.24 and 62.78

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Solution

The fourth proportional to 111.53, 167.24 and 62.78 is: 94.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.53 : 167.24 = 62.78 : x
  2. Step 2: Convert to fraction form
    111.53/167.24 = 62.78/x
  3. Step 3: Cross multiply
    111.53x = 167.24 × 62.78
  4. Step 4: Simplify right side
    111.53x = 10,498.65
  5. Step 5: Solve for x
    x = 10,498.65/111.53
  6. Step 6: Final answer
    x = 94.13

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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.