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Finding the Fourth Proportional to 129.74, 178.82 and 88.27

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Solution

The fourth proportional to 129.74, 178.82 and 88.27 is: 121.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.74 : 178.82 = 88.27 : x
  2. Step 2: Convert to fraction form
    129.74/178.82 = 88.27/x
  3. Step 3: Cross multiply
    129.74x = 178.82 × 88.27
  4. Step 4: Simplify right side
    129.74x = 15,784.00
  5. Step 5: Solve for x
    x = 15,784.00/129.74
  6. Step 6: Final answer
    x = 121.66

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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.