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Finding the Fourth Proportional to 98.02, 135.17 and 71.75

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Solution

The fourth proportional to 98.02, 135.17 and 71.75 is: 98.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.02 : 135.17 = 71.75 : x
  2. Step 2: Convert to fraction form
    98.02/135.17 = 71.75/x
  3. Step 3: Cross multiply
    98.02x = 135.17 × 71.75
  4. Step 4: Simplify right side
    98.02x = 9,698.09
  5. Step 5: Solve for x
    x = 9,698.09/98.02
  6. Step 6: Final answer
    x = 98.94

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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.