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Finding the Fourth Proportional to 129.40, 176.99 and 127.48

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Solution

The fourth proportional to 129.40, 176.99 and 127.48 is: 174.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.40 : 176.99 = 127.48 : x
  2. Step 2: Convert to fraction form
    129.40/176.99 = 127.48/x
  3. Step 3: Cross multiply
    129.40x = 176.99 × 127.48
  4. Step 4: Simplify right side
    129.40x = 22,562.69
  5. Step 5: Solve for x
    x = 22,562.69/129.40
  6. Step 6: Final answer
    x = 174.36

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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.