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Finding the Fourth Proportional to 126.55, 174.69 and 102.04

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Solution

The fourth proportional to 126.55, 174.69 and 102.04 is: 140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.55 : 174.69 = 102.04 : x
  2. Step 2: Convert to fraction form
    126.55/174.69 = 102.04/x
  3. Step 3: Cross multiply
    126.55x = 174.69 × 102.04
  4. Step 4: Simplify right side
    126.55x = 17,824.49
  5. Step 5: Solve for x
    x = 17,824.49/126.55
  6. Step 6: Final answer
    x = 140.85

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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.