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Finding the Fourth Proportional to 77.42, 116.86 and 77.42

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Solution

The fourth proportional to 77.42, 116.86 and 77.42 is: 116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.42 : 116.86 = 77.42 : x
  2. Step 2: Convert to fraction form
    77.42/116.86 = 77.42/x
  3. Step 3: Cross multiply
    77.42x = 116.86 × 77.42
  4. Step 4: Simplify right side
    77.42x = 9,047.54
  5. Step 5: Solve for x
    x = 9,047.54/77.42
  6. Step 6: Final answer
    x = 116.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.