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Finding the Fourth Proportional to 84.58, 126.17 and 75.46

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Solution

The fourth proportional to 84.58, 126.17 and 75.46 is: 112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.58 : 126.17 = 75.46 : x
  2. Step 2: Convert to fraction form
    84.58/126.17 = 75.46/x
  3. Step 3: Cross multiply
    84.58x = 126.17 × 75.46
  4. Step 4: Simplify right side
    84.58x = 9,520.79
  5. Step 5: Solve for x
    x = 9,520.79/84.58
  6. Step 6: Final answer
    x = 112.57

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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.