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Finding the Fourth Proportional to 124.76, 186.64 and 111.80

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Solution

The fourth proportional to 124.76, 186.64 and 111.80 is: 167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.76 : 186.64 = 111.80 : x
  2. Step 2: Convert to fraction form
    124.76/186.64 = 111.80/x
  3. Step 3: Cross multiply
    124.76x = 186.64 × 111.80
  4. Step 4: Simplify right side
    124.76x = 20,864.86
  5. Step 5: Solve for x
    x = 20,864.86/124.76
  6. Step 6: Final answer
    x = 167.24

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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.