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Finding the Fourth Proportional to 77.74, 107.36 and 66.76

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Solution

The fourth proportional to 77.74, 107.36 and 66.76 is: 92.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.74 : 107.36 = 66.76 : x
  2. Step 2: Convert to fraction form
    77.74/107.36 = 66.76/x
  3. Step 3: Cross multiply
    77.74x = 107.36 × 66.76
  4. Step 4: Simplify right side
    77.74x = 7,167.35
  5. Step 5: Solve for x
    x = 7,167.35/77.74
  6. Step 6: Final answer
    x = 92.20

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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.