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Finding the Fourth Proportional to 96.55, 145.13 and 83.19

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Solution

The fourth proportional to 96.55, 145.13 and 83.19 is: 125.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.55 : 145.13 = 83.19 : x
  2. Step 2: Convert to fraction form
    96.55/145.13 = 83.19/x
  3. Step 3: Cross multiply
    96.55x = 145.13 × 83.19
  4. Step 4: Simplify right side
    96.55x = 12,073.36
  5. Step 5: Solve for x
    x = 12,073.36/96.55
  6. Step 6: Final answer
    x = 125.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.