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Finding the Fourth Proportional to 88.29, 132.23 and 57.78

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Solution

The fourth proportional to 88.29, 132.23 and 57.78 is: 86.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.29 : 132.23 = 57.78 : x
  2. Step 2: Convert to fraction form
    88.29/132.23 = 57.78/x
  3. Step 3: Cross multiply
    88.29x = 132.23 × 57.78
  4. Step 4: Simplify right side
    88.29x = 7,640.39
  5. Step 5: Solve for x
    x = 7,640.39/88.29
  6. Step 6: Final answer
    x = 86.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.