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Finding the Fourth Proportional to 66.05, 98.94 and 53.90

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Solution

The fourth proportional to 66.05, 98.94 and 53.90 is: 80.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.05 : 98.94 = 53.90 : x
  2. Step 2: Convert to fraction form
    66.05/98.94 = 53.90/x
  3. Step 3: Cross multiply
    66.05x = 98.94 × 53.90
  4. Step 4: Simplify right side
    66.05x = 5,332.87
  5. Step 5: Solve for x
    x = 5,332.87/66.05
  6. Step 6: Final answer
    x = 80.74

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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.