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Finding the Fourth Proportional to 69.64, 96.77 and 68.78

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Solution

The fourth proportional to 69.64, 96.77 and 68.78 is: 95.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.64 : 96.77 = 68.78 : x
  2. Step 2: Convert to fraction form
    69.64/96.77 = 68.78/x
  3. Step 3: Cross multiply
    69.64x = 96.77 × 68.78
  4. Step 4: Simplify right side
    69.64x = 6,655.84
  5. Step 5: Solve for x
    x = 6,655.84/69.64
  6. Step 6: Final answer
    x = 95.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.