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Finding the Fourth Proportional to 126.13, 174.03 and 84.70

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Solution

The fourth proportional to 126.13, 174.03 and 84.70 is: 116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.13 : 174.03 = 84.70 : x
  2. Step 2: Convert to fraction form
    126.13/174.03 = 84.70/x
  3. Step 3: Cross multiply
    126.13x = 174.03 × 84.70
  4. Step 4: Simplify right side
    126.13x = 14,740.34
  5. Step 5: Solve for x
    x = 14,740.34/126.13
  6. Step 6: Final answer
    x = 116.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.