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Finding the Fourth Proportional to 127.56, 175.90 and 75.80

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Solution

The fourth proportional to 127.56, 175.90 and 75.80 is: 104.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.56 : 175.90 = 75.80 : x
  2. Step 2: Convert to fraction form
    127.56/175.90 = 75.80/x
  3. Step 3: Cross multiply
    127.56x = 175.90 × 75.80
  4. Step 4: Simplify right side
    127.56x = 13,333.22
  5. Step 5: Solve for x
    x = 13,333.22/127.56
  6. Step 6: Final answer
    x = 104.53

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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.