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Finding the Fourth Proportional to 83.48, 124.67 and 75.92

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Solution

The fourth proportional to 83.48, 124.67 and 75.92 is: 113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.48 : 124.67 = 75.92 : x
  2. Step 2: Convert to fraction form
    83.48/124.67 = 75.92/x
  3. Step 3: Cross multiply
    83.48x = 124.67 × 75.92
  4. Step 4: Simplify right side
    83.48x = 9,464.51
  5. Step 5: Solve for x
    x = 9,464.51/83.48
  6. Step 6: Final answer
    x = 113.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.