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Finding the Fourth Proportional to 124.61, 186.68 and 111.65

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Solution

The fourth proportional to 124.61, 186.68 and 111.65 is: 167.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.61 : 186.68 = 111.65 : x
  2. Step 2: Convert to fraction form
    124.61/186.68 = 111.65/x
  3. Step 3: Cross multiply
    124.61x = 186.68 × 111.65
  4. Step 4: Simplify right side
    124.61x = 20,841.33
  5. Step 5: Solve for x
    x = 20,841.33/124.61
  6. Step 6: Final answer
    x = 167.26

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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.