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Finding the Fourth Proportional to 77.55, 115.82 and 66.16

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Solution

The fourth proportional to 77.55, 115.82 and 66.16 is: 98.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.55 : 115.82 = 66.16 : x
  2. Step 2: Convert to fraction form
    77.55/115.82 = 66.16/x
  3. Step 3: Cross multiply
    77.55x = 115.82 × 66.16
  4. Step 4: Simplify right side
    77.55x = 7,662.32
  5. Step 5: Solve for x
    x = 7,662.32/77.55
  6. Step 6: Final answer
    x = 98.80

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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.