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Finding the Fourth Proportional to 91.68, 126.81 and 77.10

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Solution

The fourth proportional to 91.68, 126.81 and 77.10 is: 106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.68 : 126.81 = 77.10 : x
  2. Step 2: Convert to fraction form
    91.68/126.81 = 77.10/x
  3. Step 3: Cross multiply
    91.68x = 126.81 × 77.10
  4. Step 4: Simplify right side
    91.68x = 9,777.05
  5. Step 5: Solve for x
    x = 9,777.05/91.68
  6. Step 6: Final answer
    x = 106.64

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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.