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Finding the Fourth Proportional to 99.75, 148.08 and 98.13

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Solution

The fourth proportional to 99.75, 148.08 and 98.13 is: 145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.75 : 148.08 = 98.13 : x
  2. Step 2: Convert to fraction form
    99.75/148.08 = 98.13/x
  3. Step 3: Cross multiply
    99.75x = 148.08 × 98.13
  4. Step 4: Simplify right side
    99.75x = 14,531.09
  5. Step 5: Solve for x
    x = 14,531.09/99.75
  6. Step 6: Final answer
    x = 145.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.