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Finding the Fourth Proportional to 127.16, 175.70 and 102.55

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Solution

The fourth proportional to 127.16, 175.70 and 102.55 is: 141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.16 : 175.70 = 102.55 : x
  2. Step 2: Convert to fraction form
    127.16/175.70 = 102.55/x
  3. Step 3: Cross multiply
    127.16x = 175.70 × 102.55
  4. Step 4: Simplify right side
    127.16x = 18,018.04
  5. Step 5: Solve for x
    x = 18,018.04/127.16
  6. Step 6: Final answer
    x = 141.70

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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.