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Finding the Fourth Proportional to 96.84, 144.54 and 83.06

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Solution

The fourth proportional to 96.84, 144.54 and 83.06 is: 123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.84 : 144.54 = 83.06 : x
  2. Step 2: Convert to fraction form
    96.84/144.54 = 83.06/x
  3. Step 3: Cross multiply
    96.84x = 144.54 × 83.06
  4. Step 4: Simplify right side
    96.84x = 12,005.49
  5. Step 5: Solve for x
    x = 12,005.49/96.84
  6. Step 6: Final answer
    x = 123.97

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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.