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Finding the Fourth Proportional to 124.96, 187.61 and 64.13

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Solution

The fourth proportional to 124.96, 187.61 and 64.13 is: 96.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.96 : 187.61 = 64.13 : x
  2. Step 2: Convert to fraction form
    124.96/187.61 = 64.13/x
  3. Step 3: Cross multiply
    124.96x = 187.61 × 64.13
  4. Step 4: Simplify right side
    124.96x = 12,031.43
  5. Step 5: Solve for x
    x = 12,031.43/124.96
  6. Step 6: Final answer
    x = 96.28

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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.