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Finding the Fourth Proportional to 129.81, 179.14 and 74.55

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Solution

The fourth proportional to 129.81, 179.14 and 74.55 is: 102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.81 : 179.14 = 74.55 : x
  2. Step 2: Convert to fraction form
    129.81/179.14 = 74.55/x
  3. Step 3: Cross multiply
    129.81x = 179.14 × 74.55
  4. Step 4: Simplify right side
    129.81x = 13,354.89
  5. Step 5: Solve for x
    x = 13,354.89/129.81
  6. Step 6: Final answer
    x = 102.88

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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.