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Finding the Fourth Proportional to 124.86, 187.02 and 86.34

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Solution

The fourth proportional to 124.86, 187.02 and 86.34 is: 129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.86 : 187.02 = 86.34 : x
  2. Step 2: Convert to fraction form
    124.86/187.02 = 86.34/x
  3. Step 3: Cross multiply
    124.86x = 187.02 × 86.34
  4. Step 4: Simplify right side
    124.86x = 16,147.31
  5. Step 5: Solve for x
    x = 16,147.31/124.86
  6. Step 6: Final answer
    x = 129.32

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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.