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Finding the Fourth Proportional to 96.29, 132.86 and 56.96

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Solution

The fourth proportional to 96.29, 132.86 and 56.96 is: 78.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.29 : 132.86 = 56.96 : x
  2. Step 2: Convert to fraction form
    96.29/132.86 = 56.96/x
  3. Step 3: Cross multiply
    96.29x = 132.86 × 56.96
  4. Step 4: Simplify right side
    96.29x = 7,566.76
  5. Step 5: Solve for x
    x = 7,566.76/96.29
  6. Step 6: Final answer
    x = 78.59

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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.