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Finding the Fourth Proportional to 96.48, 144.06 and 94.08

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Solution

The fourth proportional to 96.48, 144.06 and 94.08 is: 140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.48 : 144.06 = 94.08 : x
  2. Step 2: Convert to fraction form
    96.48/144.06 = 94.08/x
  3. Step 3: Cross multiply
    96.48x = 144.06 × 94.08
  4. Step 4: Simplify right side
    96.48x = 13,553.16
  5. Step 5: Solve for x
    x = 13,553.16/96.48
  6. Step 6: Final answer
    x = 140.48

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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.