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Finding the Fourth Proportional to 96.57, 133.28 and 57.75

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Solution

The fourth proportional to 96.57, 133.28 and 57.75 is: 79.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.57 : 133.28 = 57.75 : x
  2. Step 2: Convert to fraction form
    96.57/133.28 = 57.75/x
  3. Step 3: Cross multiply
    96.57x = 133.28 × 57.75
  4. Step 4: Simplify right side
    96.57x = 7,696.63
  5. Step 5: Solve for x
    x = 7,696.63/96.57
  6. Step 6: Final answer
    x = 79.70

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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.