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Finding the Fourth Proportional to 96.64, 133.18 and 79.99

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Solution

The fourth proportional to 96.64, 133.18 and 79.99 is: 110.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.64 : 133.18 = 79.99 : x
  2. Step 2: Convert to fraction form
    96.64/133.18 = 79.99/x
  3. Step 3: Cross multiply
    96.64x = 133.18 × 79.99
  4. Step 4: Simplify right side
    96.64x = 10,652.54
  5. Step 5: Solve for x
    x = 10,652.54/96.64
  6. Step 6: Final answer
    x = 110.23

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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.