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Finding the Fourth Proportional to 127.55, 175.92 and 75.80

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Solution

The fourth proportional to 127.55, 175.92 and 75.80 is: 104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.55 : 175.92 = 75.80 : x
  2. Step 2: Convert to fraction form
    127.55/175.92 = 75.80/x
  3. Step 3: Cross multiply
    127.55x = 175.92 × 75.80
  4. Step 4: Simplify right side
    127.55x = 13,333.86
  5. Step 5: Solve for x
    x = 13,333.86/127.55
  6. Step 6: Final answer
    x = 104.54

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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.