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Finding the Fourth Proportional to 88.65, 132.98 and 27.78

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Solution

The fourth proportional to 88.65, 132.98 and 27.78 is: 41.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.65 : 132.98 = 27.78 : x
  2. Step 2: Convert to fraction form
    88.65/132.98 = 27.78/x
  3. Step 3: Cross multiply
    88.65x = 132.98 × 27.78
  4. Step 4: Simplify right side
    88.65x = 3,694.25
  5. Step 5: Solve for x
    x = 3,694.25/88.65
  6. Step 6: Final answer
    x = 41.67

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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.