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Finding the Fourth Proportional to 88.94, 123.24 and 87.78

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Solution

The fourth proportional to 88.94, 123.24 and 87.78 is: 121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.94 : 123.24 = 87.78 : x
  2. Step 2: Convert to fraction form
    88.94/123.24 = 87.78/x
  3. Step 3: Cross multiply
    88.94x = 123.24 × 87.78
  4. Step 4: Simplify right side
    88.94x = 10,818.01
  5. Step 5: Solve for x
    x = 10,818.01/88.94
  6. Step 6: Final answer
    x = 121.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.