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Finding the Fourth Proportional to 129.98, 179.35 and 74.71

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Solution

The fourth proportional to 129.98, 179.35 and 74.71 is: 103.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.98 : 179.35 = 74.71 : x
  2. Step 2: Convert to fraction form
    129.98/179.35 = 74.71/x
  3. Step 3: Cross multiply
    129.98x = 179.35 × 74.71
  4. Step 4: Simplify right side
    129.98x = 13,399.24
  5. Step 5: Solve for x
    x = 13,399.24/129.98
  6. Step 6: Final answer
    x = 103.09

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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.