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Finding the Fourth Proportional to 129.26, 178.37 and 74.01

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Solution

The fourth proportional to 129.26, 178.37 and 74.01 is: 102.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.26 : 178.37 = 74.01 : x
  2. Step 2: Convert to fraction form
    129.26/178.37 = 74.01/x
  3. Step 3: Cross multiply
    129.26x = 178.37 × 74.01
  4. Step 4: Simplify right side
    129.26x = 13,201.74
  5. Step 5: Solve for x
    x = 13,201.74/129.26
  6. Step 6: Final answer
    x = 102.13

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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.