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Finding the Fourth Proportional to 129.31, 178.45 and 74.06

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Solution

The fourth proportional to 129.31, 178.45 and 74.06 is: 102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.31 : 178.45 = 74.06 : x
  2. Step 2: Convert to fraction form
    129.31/178.45 = 74.06/x
  3. Step 3: Cross multiply
    129.31x = 178.45 × 74.06
  4. Step 4: Simplify right side
    129.31x = 13,216.01
  5. Step 5: Solve for x
    x = 13,216.01/129.31
  6. Step 6: Final answer
    x = 102.20

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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.