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Finding the Fourth Proportional to 76.68, 105.75 and 55.92

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Solution

The fourth proportional to 76.68, 105.75 and 55.92 is: 77.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.68 : 105.75 = 55.92 : x
  2. Step 2: Convert to fraction form
    76.68/105.75 = 55.92/x
  3. Step 3: Cross multiply
    76.68x = 105.75 × 55.92
  4. Step 4: Simplify right side
    76.68x = 5,913.54
  5. Step 5: Solve for x
    x = 5,913.54/76.68
  6. Step 6: Final answer
    x = 77.12

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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.