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Finding the Fourth Proportional to 127.13, 175.39 and 74.68

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Solution

The fourth proportional to 127.13, 175.39 and 74.68 is: 103.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.13 : 175.39 = 74.68 : x
  2. Step 2: Convert to fraction form
    127.13/175.39 = 74.68/x
  3. Step 3: Cross multiply
    127.13x = 175.39 × 74.68
  4. Step 4: Simplify right side
    127.13x = 13,098.16
  5. Step 5: Solve for x
    x = 13,098.16/127.13
  6. Step 6: Final answer
    x = 103.03

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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.