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Finding the Fourth Proportional to 88.68, 122.06 and 78.34

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Solution

The fourth proportional to 88.68, 122.06 and 78.34 is: 107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.68 : 122.06 = 78.34 : x
  2. Step 2: Convert to fraction form
    88.68/122.06 = 78.34/x
  3. Step 3: Cross multiply
    88.68x = 122.06 × 78.34
  4. Step 4: Simplify right side
    88.68x = 9,562.18
  5. Step 5: Solve for x
    x = 9,562.18/88.68
  6. Step 6: Final answer
    x = 107.83

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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.