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Finding the Fourth Proportional to 78.22, 116.78 and 69.18

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Solution

The fourth proportional to 78.22, 116.78 and 69.18 is: 103.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.22 : 116.78 = 69.18 : x
  2. Step 2: Convert to fraction form
    78.22/116.78 = 69.18/x
  3. Step 3: Cross multiply
    78.22x = 116.78 × 69.18
  4. Step 4: Simplify right side
    78.22x = 8,078.84
  5. Step 5: Solve for x
    x = 8,078.84/78.22
  6. Step 6: Final answer
    x = 103.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.