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Finding the Fourth Proportional to 129.93, 178.14 and 127.62

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Solution

The fourth proportional to 129.93, 178.14 and 127.62 is: 174.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.93 : 178.14 = 127.62 : x
  2. Step 2: Convert to fraction form
    129.93/178.14 = 127.62/x
  3. Step 3: Cross multiply
    129.93x = 178.14 × 127.62
  4. Step 4: Simplify right side
    129.93x = 22,734.23
  5. Step 5: Solve for x
    x = 22,734.23/129.93
  6. Step 6: Final answer
    x = 174.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.