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Finding the Fourth Proportional to 75.89, 104.90 and 54.20

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Solution

The fourth proportional to 75.89, 104.90 and 54.20 is: 74.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.89 : 104.90 = 54.20 : x
  2. Step 2: Convert to fraction form
    75.89/104.90 = 54.20/x
  3. Step 3: Cross multiply
    75.89x = 104.90 × 54.20
  4. Step 4: Simplify right side
    75.89x = 5,685.58
  5. Step 5: Solve for x
    x = 5,685.58/75.89
  6. Step 6: Final answer
    x = 74.92

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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.