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Finding the Fourth Proportional to 96.50, 133.05 and 79.10

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Solution

The fourth proportional to 96.50, 133.05 and 79.10 is: 109.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.50 : 133.05 = 79.10 : x
  2. Step 2: Convert to fraction form
    96.50/133.05 = 79.10/x
  3. Step 3: Cross multiply
    96.50x = 133.05 × 79.10
  4. Step 4: Simplify right side
    96.50x = 10,524.26
  5. Step 5: Solve for x
    x = 10,524.26/96.50
  6. Step 6: Final answer
    x = 109.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.