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Finding the Fourth Proportional to 77.68, 106.56 and 73.02

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Solution

The fourth proportional to 77.68, 106.56 and 73.02 is: 100.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.68 : 106.56 = 73.02 : x
  2. Step 2: Convert to fraction form
    77.68/106.56 = 73.02/x
  3. Step 3: Cross multiply
    77.68x = 106.56 × 73.02
  4. Step 4: Simplify right side
    77.68x = 7,781.41
  5. Step 5: Solve for x
    x = 7,781.41/77.68
  6. Step 6: Final answer
    x = 100.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.