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Finding the Fourth Proportional to 75.39, 103.96 and 65.02

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Solution

The fourth proportional to 75.39, 103.96 and 65.02 is: 89.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.39 : 103.96 = 65.02 : x
  2. Step 2: Convert to fraction form
    75.39/103.96 = 65.02/x
  3. Step 3: Cross multiply
    75.39x = 103.96 × 65.02
  4. Step 4: Simplify right side
    75.39x = 6,759.48
  5. Step 5: Solve for x
    x = 6,759.48/75.39
  6. Step 6: Final answer
    x = 89.66

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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.