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Finding the Fourth Proportional to 96.75, 133.51 and 57.42

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Solution

The fourth proportional to 96.75, 133.51 and 57.42 is: 79.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.75 : 133.51 = 57.42 : x
  2. Step 2: Convert to fraction form
    96.75/133.51 = 57.42/x
  3. Step 3: Cross multiply
    96.75x = 133.51 × 57.42
  4. Step 4: Simplify right side
    96.75x = 7,665.48
  5. Step 5: Solve for x
    x = 7,665.48/96.75
  6. Step 6: Final answer
    x = 79.23

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