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Finding the Fourth Proportional to 75.89, 104.59 and 55.13

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Solution

The fourth proportional to 75.89, 104.59 and 55.13 is: 75.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.89 : 104.59 = 55.13 : x
  2. Step 2: Convert to fraction form
    75.89/104.59 = 55.13/x
  3. Step 3: Cross multiply
    75.89x = 104.59 × 55.13
  4. Step 4: Simplify right side
    75.89x = 5,766.18
  5. Step 5: Solve for x
    x = 5,766.18/75.89
  6. Step 6: Final answer
    x = 75.98

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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.