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Finding the Fourth Proportional to 77.52, 115.88 and 54.54

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Solution

The fourth proportional to 77.52, 115.88 and 54.54 is: 81.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.52 : 115.88 = 54.54 : x
  2. Step 2: Convert to fraction form
    77.52/115.88 = 54.54/x
  3. Step 3: Cross multiply
    77.52x = 115.88 × 54.54
  4. Step 4: Simplify right side
    77.52x = 6,319.82
  5. Step 5: Solve for x
    x = 6,319.82/77.52
  6. Step 6: Final answer
    x = 81.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.