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Finding the Fourth Proportional to 129.63, 177.69 and 127.31

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Solution

The fourth proportional to 129.63, 177.69 and 127.31 is: 174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.63 : 177.69 = 127.31 : x
  2. Step 2: Convert to fraction form
    129.63/177.69 = 127.31/x
  3. Step 3: Cross multiply
    129.63x = 177.69 × 127.31
  4. Step 4: Simplify right side
    129.63x = 22,621.30
  5. Step 5: Solve for x
    x = 22,621.30/129.63
  6. Step 6: Final answer
    x = 174.50

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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.