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Finding the Fourth Proportional to 127.03, 174.72 and 102.41

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Solution

The fourth proportional to 127.03, 174.72 and 102.41 is: 140.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.03 : 174.72 = 102.41 : x
  2. Step 2: Convert to fraction form
    127.03/174.72 = 102.41/x
  3. Step 3: Cross multiply
    127.03x = 174.72 × 102.41
  4. Step 4: Simplify right side
    127.03x = 17,893.08
  5. Step 5: Solve for x
    x = 17,893.08/127.03
  6. Step 6: Final answer
    x = 140.86

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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.