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Finding the Fourth Proportional to 127.26, 175.47 and 102.42

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Solution

The fourth proportional to 127.26, 175.47 and 102.42 is: 141.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.26 : 175.47 = 102.42 : x
  2. Step 2: Convert to fraction form
    127.26/175.47 = 102.42/x
  3. Step 3: Cross multiply
    127.26x = 175.47 × 102.42
  4. Step 4: Simplify right side
    127.26x = 17,971.64
  5. Step 5: Solve for x
    x = 17,971.64/127.26
  6. Step 6: Final answer
    x = 141.22

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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.