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Finding the Fourth Proportional to 96.93, 145.17 and 69.87

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Solution

The fourth proportional to 96.93, 145.17 and 69.87 is: 104.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.93 : 145.17 = 69.87 : x
  2. Step 2: Convert to fraction form
    96.93/145.17 = 69.87/x
  3. Step 3: Cross multiply
    96.93x = 145.17 × 69.87
  4. Step 4: Simplify right side
    96.93x = 10,143.03
  5. Step 5: Solve for x
    x = 10,143.03/96.93
  6. Step 6: Final answer
    x = 104.64

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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.