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Finding the Fourth Proportional to 98.06, 146.03 and 89.96

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Solution

The fourth proportional to 98.06, 146.03 and 89.96 is: 133.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.06 : 146.03 = 89.96 : x
  2. Step 2: Convert to fraction form
    98.06/146.03 = 89.96/x
  3. Step 3: Cross multiply
    98.06x = 146.03 × 89.96
  4. Step 4: Simplify right side
    98.06x = 13,135.68
  5. Step 5: Solve for x
    x = 13,135.68/98.06
  6. Step 6: Final answer
    x = 133.96

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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.