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Finding the Fourth Proportional to 99.75, 148.65 and 96.49

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Solution

The fourth proportional to 99.75, 148.65 and 96.49 is: 143.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.75 : 148.65 = 96.49 : x
  2. Step 2: Convert to fraction form
    99.75/148.65 = 96.49/x
  3. Step 3: Cross multiply
    99.75x = 148.65 × 96.49
  4. Step 4: Simplify right side
    99.75x = 14,343.24
  5. Step 5: Solve for x
    x = 14,343.24/99.75
  6. Step 6: Final answer
    x = 143.79

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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.