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Finding the Fourth Proportional to 99.54, 148.50 and 94.95

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Solution

The fourth proportional to 99.54, 148.50 and 94.95 is: 141.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.54 : 148.50 = 94.95 : x
  2. Step 2: Convert to fraction form
    99.54/148.50 = 94.95/x
  3. Step 3: Cross multiply
    99.54x = 148.50 × 94.95
  4. Step 4: Simplify right side
    99.54x = 14,100.08
  5. Step 5: Solve for x
    x = 14,100.08/99.54
  6. Step 6: Final answer
    x = 141.65

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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.