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Finding the Fourth Proportional to 127.12, 175.11 and 106.39

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Solution

The fourth proportional to 127.12, 175.11 and 106.39 is: 146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.12 : 175.11 = 106.39 : x
  2. Step 2: Convert to fraction form
    127.12/175.11 = 106.39/x
  3. Step 3: Cross multiply
    127.12x = 175.11 × 106.39
  4. Step 4: Simplify right side
    127.12x = 18,629.95
  5. Step 5: Solve for x
    x = 18,629.95/127.12
  6. Step 6: Final answer
    x = 146.55

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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.