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Finding the Fourth Proportional to 96.29, 132.85 and 56.94

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Solution

The fourth proportional to 96.29, 132.85 and 56.94 is: 78.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.29 : 132.85 = 56.94 : x
  2. Step 2: Convert to fraction form
    96.29/132.85 = 56.94/x
  3. Step 3: Cross multiply
    96.29x = 132.85 × 56.94
  4. Step 4: Simplify right side
    96.29x = 7,564.48
  5. Step 5: Solve for x
    x = 7,564.48/96.29
  6. Step 6: Final answer
    x = 78.56

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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.