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Finding the Fourth Proportional to 124.63, 187.05 and 86.11

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Solution

The fourth proportional to 124.63, 187.05 and 86.11 is: 129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.63 : 187.05 = 86.11 : x
  2. Step 2: Convert to fraction form
    124.63/187.05 = 86.11/x
  3. Step 3: Cross multiply
    124.63x = 187.05 × 86.11
  4. Step 4: Simplify right side
    124.63x = 16,106.88
  5. Step 5: Solve for x
    x = 16,106.88/124.63
  6. Step 6: Final answer
    x = 129.24

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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.