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Finding the Fourth Proportional to 96.58, 133.28 and 57.24

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Solution

The fourth proportional to 96.58, 133.28 and 57.24 is: 78.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.58 : 133.28 = 57.24 : x
  2. Step 2: Convert to fraction form
    96.58/133.28 = 57.24/x
  3. Step 3: Cross multiply
    96.58x = 133.28 × 57.24
  4. Step 4: Simplify right side
    96.58x = 7,628.95
  5. Step 5: Solve for x
    x = 7,628.95/96.58
  6. Step 6: Final answer
    x = 78.99

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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.