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Finding the Fourth Proportional to 124.27, 186.41 and 76.07

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Solution

The fourth proportional to 124.27, 186.41 and 76.07 is: 114.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.27 : 186.41 = 76.07 : x
  2. Step 2: Convert to fraction form
    124.27/186.41 = 76.07/x
  3. Step 3: Cross multiply
    124.27x = 186.41 × 76.07
  4. Step 4: Simplify right side
    124.27x = 14,180.86
  5. Step 5: Solve for x
    x = 14,180.86/124.27
  6. Step 6: Final answer
    x = 114.12

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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.