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Finding the Fourth Proportional to 71.75, 98.99 and 42.59

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Solution

The fourth proportional to 71.75, 98.99 and 42.59 is: 58.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.75 : 98.99 = 42.59 : x
  2. Step 2: Convert to fraction form
    71.75/98.99 = 42.59/x
  3. Step 3: Cross multiply
    71.75x = 98.99 × 42.59
  4. Step 4: Simplify right side
    71.75x = 4,216.18
  5. Step 5: Solve for x
    x = 4,216.18/71.75
  6. Step 6: Final answer
    x = 58.76

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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.