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Finding the Fourth Proportional to 71.38, 106.99 and 45.65

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Solution

The fourth proportional to 71.38, 106.99 and 45.65 is: 68.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.38 : 106.99 = 45.65 : x
  2. Step 2: Convert to fraction form
    71.38/106.99 = 45.65/x
  3. Step 3: Cross multiply
    71.38x = 106.99 × 45.65
  4. Step 4: Simplify right side
    71.38x = 4,883.65
  5. Step 5: Solve for x
    x = 4,883.65/71.38
  6. Step 6: Final answer
    x = 68.42

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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.