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Finding the Fourth Proportional to 68.91, 103.52 and 65.02

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Solution

The fourth proportional to 68.91, 103.52 and 65.02 is: 97.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.91 : 103.52 = 65.02 : x
  2. Step 2: Convert to fraction form
    68.91/103.52 = 65.02/x
  3. Step 3: Cross multiply
    68.91x = 103.52 × 65.02
  4. Step 4: Simplify right side
    68.91x = 6,730.73
  5. Step 5: Solve for x
    x = 6,730.73/68.91
  6. Step 6: Final answer
    x = 97.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.