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Finding the Fourth Proportional to 127.71, 175.23 and 116.91

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Solution

The fourth proportional to 127.71, 175.23 and 116.91 is: 160.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.71 : 175.23 = 116.91 : x
  2. Step 2: Convert to fraction form
    127.71/175.23 = 116.91/x
  3. Step 3: Cross multiply
    127.71x = 175.23 × 116.91
  4. Step 4: Simplify right side
    127.71x = 20,486.14
  5. Step 5: Solve for x
    x = 20,486.14/127.71
  6. Step 6: Final answer
    x = 160.41

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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.