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Finding the Fourth Proportional to 88.56, 122.34 and 78.84

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Solution

The fourth proportional to 88.56, 122.34 and 78.84 is: 108.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.56 : 122.34 = 78.84 : x
  2. Step 2: Convert to fraction form
    88.56/122.34 = 78.84/x
  3. Step 3: Cross multiply
    88.56x = 122.34 × 78.84
  4. Step 4: Simplify right side
    88.56x = 9,645.29
  5. Step 5: Solve for x
    x = 9,645.29/88.56
  6. Step 6: Final answer
    x = 108.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.