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Finding the Fourth Proportional to 127.53, 175.82 and 103.02

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Solution

The fourth proportional to 127.53, 175.82 and 103.02 is: 142.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.53 : 175.82 = 103.02 : x
  2. Step 2: Convert to fraction form
    127.53/175.82 = 103.02/x
  3. Step 3: Cross multiply
    127.53x = 175.82 × 103.02
  4. Step 4: Simplify right side
    127.53x = 18,112.46
  5. Step 5: Solve for x
    x = 18,112.46/127.53
  6. Step 6: Final answer
    x = 142.03

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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.