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Finding the Fourth Proportional to 88.78, 132.92 and 45.94

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Solution

The fourth proportional to 88.78, 132.92 and 45.94 is: 68.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.78 : 132.92 = 45.94 : x
  2. Step 2: Convert to fraction form
    88.78/132.92 = 45.94/x
  3. Step 3: Cross multiply
    88.78x = 132.92 × 45.94
  4. Step 4: Simplify right side
    88.78x = 6,105.80
  5. Step 5: Solve for x
    x = 6,105.80/88.78
  6. Step 6: Final answer
    x = 68.78

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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.