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Finding the Fourth Proportional to 71.82, 99.06 and 45.59

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Solution

The fourth proportional to 71.82, 99.06 and 45.59 is: 62.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.82 : 99.06 = 45.59 : x
  2. Step 2: Convert to fraction form
    71.82/99.06 = 45.59/x
  3. Step 3: Cross multiply
    71.82x = 99.06 × 45.59
  4. Step 4: Simplify right side
    71.82x = 4,515.65
  5. Step 5: Solve for x
    x = 4,515.65/71.82
  6. Step 6: Final answer
    x = 62.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.