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Finding the Fourth Proportional to 76.91, 106.12 and 54.77

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Solution

The fourth proportional to 76.91, 106.12 and 54.77 is: 75.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.91 : 106.12 = 54.77 : x
  2. Step 2: Convert to fraction form
    76.91/106.12 = 54.77/x
  3. Step 3: Cross multiply
    76.91x = 106.12 × 54.77
  4. Step 4: Simplify right side
    76.91x = 5,811.52
  5. Step 5: Solve for x
    x = 5,811.52/76.91
  6. Step 6: Final answer
    x = 75.56

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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.