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Finding the Fourth Proportional to 75.93, 104.82 and 59.64

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Solution

The fourth proportional to 75.93, 104.82 and 59.64 is: 82.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.93 : 104.82 = 59.64 : x
  2. Step 2: Convert to fraction form
    75.93/104.82 = 59.64/x
  3. Step 3: Cross multiply
    75.93x = 104.82 × 59.64
  4. Step 4: Simplify right side
    75.93x = 6,251.46
  5. Step 5: Solve for x
    x = 6,251.46/75.93
  6. Step 6: Final answer
    x = 82.33

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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.