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Finding the Fourth Proportional to 75.59, 113.39 and 65.94

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Solution

The fourth proportional to 75.59, 113.39 and 65.94 is: 98.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.59 : 113.39 = 65.94 : x
  2. Step 2: Convert to fraction form
    75.59/113.39 = 65.94/x
  3. Step 3: Cross multiply
    75.59x = 113.39 × 65.94
  4. Step 4: Simplify right side
    75.59x = 7,476.94
  5. Step 5: Solve for x
    x = 7,476.94/75.59
  6. Step 6: Final answer
    x = 98.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.