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Finding the Fourth Proportional to 68.19, 101.49 and 65.76

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Solution

The fourth proportional to 68.19, 101.49 and 65.76 is: 97.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.19 : 101.49 = 65.76 : x
  2. Step 2: Convert to fraction form
    68.19/101.49 = 65.76/x
  3. Step 3: Cross multiply
    68.19x = 101.49 × 65.76
  4. Step 4: Simplify right side
    68.19x = 6,673.93
  5. Step 5: Solve for x
    x = 6,673.93/68.19
  6. Step 6: Final answer
    x = 97.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.