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Finding the Fourth Proportional to 127.14, 175.53 and 102.72

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Solution

The fourth proportional to 127.14, 175.53 and 102.72 is: 141.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.14 : 175.53 = 102.72 : x
  2. Step 2: Convert to fraction form
    127.14/175.53 = 102.72/x
  3. Step 3: Cross multiply
    127.14x = 175.53 × 102.72
  4. Step 4: Simplify right side
    127.14x = 18,030.44
  5. Step 5: Solve for x
    x = 18,030.44/127.14
  6. Step 6: Final answer
    x = 141.82

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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.