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Finding the Fourth Proportional to 88.50, 132.78 and 45.78

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Solution

The fourth proportional to 88.50, 132.78 and 45.78 is: 68.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.50 : 132.78 = 45.78 : x
  2. Step 2: Convert to fraction form
    88.50/132.78 = 45.78/x
  3. Step 3: Cross multiply
    88.50x = 132.78 × 45.78
  4. Step 4: Simplify right side
    88.50x = 6,078.67
  5. Step 5: Solve for x
    x = 6,078.67/88.50
  6. Step 6: Final answer
    x = 68.69

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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.