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Finding the Fourth Proportional to 69.02, 95.27 and 54.57

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Solution

The fourth proportional to 69.02, 95.27 and 54.57 is: 75.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.02 : 95.27 = 54.57 : x
  2. Step 2: Convert to fraction form
    69.02/95.27 = 54.57/x
  3. Step 3: Cross multiply
    69.02x = 95.27 × 54.57
  4. Step 4: Simplify right side
    69.02x = 5,198.88
  5. Step 5: Solve for x
    x = 5,198.88/69.02
  6. Step 6: Final answer
    x = 75.32

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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.