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Finding the Fourth Proportional to 127.46, 175.89 and 85.95

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Solution

The fourth proportional to 127.46, 175.89 and 85.95 is: 118.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.46 : 175.89 = 85.95 : x
  2. Step 2: Convert to fraction form
    127.46/175.89 = 85.95/x
  3. Step 3: Cross multiply
    127.46x = 175.89 × 85.95
  4. Step 4: Simplify right side
    127.46x = 15,116.44
  5. Step 5: Solve for x
    x = 15,116.44/127.46
  6. Step 6: Final answer
    x = 118.60

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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.