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Finding the Fourth Proportional to 96.34, 132.91 and 57.52

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Solution

The fourth proportional to 96.34, 132.91 and 57.52 is: 79.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.34 : 132.91 = 57.52 : x
  2. Step 2: Convert to fraction form
    96.34/132.91 = 57.52/x
  3. Step 3: Cross multiply
    96.34x = 132.91 × 57.52
  4. Step 4: Simplify right side
    96.34x = 7,644.98
  5. Step 5: Solve for x
    x = 7,644.98/96.34
  6. Step 6: Final answer
    x = 79.35

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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.