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Finding the Fourth Proportional to 96.76, 133.54 and 57.94

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Solution

The fourth proportional to 96.76, 133.54 and 57.94 is: 79.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.76 : 133.54 = 57.94 : x
  2. Step 2: Convert to fraction form
    96.76/133.54 = 57.94/x
  3. Step 3: Cross multiply
    96.76x = 133.54 × 57.94
  4. Step 4: Simplify right side
    96.76x = 7,737.31
  5. Step 5: Solve for x
    x = 7,737.31/96.76
  6. Step 6: Final answer
    x = 79.96

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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.