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Finding the Fourth Proportional to 77.24, 107.08 and 76.10

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Solution

The fourth proportional to 77.24, 107.08 and 76.10 is: 105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.24 : 107.08 = 76.10 : x
  2. Step 2: Convert to fraction form
    77.24/107.08 = 76.10/x
  3. Step 3: Cross multiply
    77.24x = 107.08 × 76.10
  4. Step 4: Simplify right side
    77.24x = 8,148.79
  5. Step 5: Solve for x
    x = 8,148.79/77.24
  6. Step 6: Final answer
    x = 105.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.