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Finding the Fourth Proportional to 45.16, 67.32 and 42.82

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Solution

The fourth proportional to 45.16, 67.32 and 42.82 is: 63.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.16 : 67.32 = 42.82 : x
  2. Step 2: Convert to fraction form
    45.16/67.32 = 42.82/x
  3. Step 3: Cross multiply
    45.16x = 67.32 × 42.82
  4. Step 4: Simplify right side
    45.16x = 2,882.64
  5. Step 5: Solve for x
    x = 2,882.64/45.16
  6. Step 6: Final answer
    x = 63.83

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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.