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Finding the Fourth Proportional to 66.75, 91.49 and 65.73

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Solution

The fourth proportional to 66.75, 91.49 and 65.73 is: 90.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.75 : 91.49 = 65.73 : x
  2. Step 2: Convert to fraction form
    66.75/91.49 = 65.73/x
  3. Step 3: Cross multiply
    66.75x = 91.49 × 65.73
  4. Step 4: Simplify right side
    66.75x = 6,013.80
  5. Step 5: Solve for x
    x = 6,013.80/66.75
  6. Step 6: Final answer
    x = 90.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.