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Finding the Fourth Proportional to 73.57, 109.65 and 71.65

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Solution

The fourth proportional to 73.57, 109.65 and 71.65 is: 106.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.57 : 109.65 = 71.65 : x
  2. Step 2: Convert to fraction form
    73.57/109.65 = 71.65/x
  3. Step 3: Cross multiply
    73.57x = 109.65 × 71.65
  4. Step 4: Simplify right side
    73.57x = 7,856.42
  5. Step 5: Solve for x
    x = 7,856.42/73.57
  6. Step 6: Final answer
    x = 106.79

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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.