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Finding the Fourth Proportional to 67.91, 101.91 and 45.07

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Solution

The fourth proportional to 67.91, 101.91 and 45.07 is: 67.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.91 : 101.91 = 45.07 : x
  2. Step 2: Convert to fraction form
    67.91/101.91 = 45.07/x
  3. Step 3: Cross multiply
    67.91x = 101.91 × 45.07
  4. Step 4: Simplify right side
    67.91x = 4,593.08
  5. Step 5: Solve for x
    x = 4,593.08/67.91
  6. Step 6: Final answer
    x = 67.63

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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.