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Finding the Fourth Proportional to 124.16, 186.64 and 83.64

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Solution

The fourth proportional to 124.16, 186.64 and 83.64 is: 125.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.16 : 186.64 = 83.64 : x
  2. Step 2: Convert to fraction form
    124.16/186.64 = 83.64/x
  3. Step 3: Cross multiply
    124.16x = 186.64 × 83.64
  4. Step 4: Simplify right side
    124.16x = 15,610.57
  5. Step 5: Solve for x
    x = 15,610.57/124.16
  6. Step 6: Final answer
    x = 125.73

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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.