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Finding the Fourth Proportional to 83.16, 124.26 and 75.08

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Solution

The fourth proportional to 83.16, 124.26 and 75.08 is: 112.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.16 : 124.26 = 75.08 : x
  2. Step 2: Convert to fraction form
    83.16/124.26 = 75.08/x
  3. Step 3: Cross multiply
    83.16x = 124.26 × 75.08
  4. Step 4: Simplify right side
    83.16x = 9,329.44
  5. Step 5: Solve for x
    x = 9,329.44/83.16
  6. Step 6: Final answer
    x = 112.19

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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.