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Finding the Fourth Proportional to 68.85, 95.43 and 65.76

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Solution

The fourth proportional to 68.85, 95.43 and 65.76 is: 91.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.85 : 95.43 = 65.76 : x
  2. Step 2: Convert to fraction form
    68.85/95.43 = 65.76/x
  3. Step 3: Cross multiply
    68.85x = 95.43 × 65.76
  4. Step 4: Simplify right side
    68.85x = 6,275.48
  5. Step 5: Solve for x
    x = 6,275.48/68.85
  6. Step 6: Final answer
    x = 91.15

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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.