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Finding the Fourth Proportional to 96.07, 143.39 and 83.00

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Solution

The fourth proportional to 96.07, 143.39 and 83.00 is: 123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.07 : 143.39 = 83.00 : x
  2. Step 2: Convert to fraction form
    96.07/143.39 = 83.00/x
  3. Step 3: Cross multiply
    96.07x = 143.39 × 83.00
  4. Step 4: Simplify right side
    96.07x = 11,900.24
  5. Step 5: Solve for x
    x = 11,900.24/96.07
  6. Step 6: Final answer
    x = 123.87

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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.