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Finding the Fourth Proportional to 120.22, 165.86 and 78.22

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Solution

The fourth proportional to 120.22, 165.86 and 78.22 is: 107.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.22 : 165.86 = 78.22 : x
  2. Step 2: Convert to fraction form
    120.22/165.86 = 78.22/x
  3. Step 3: Cross multiply
    120.22x = 165.86 × 78.22
  4. Step 4: Simplify right side
    120.22x = 12,973.57
  5. Step 5: Solve for x
    x = 12,973.57/120.22
  6. Step 6: Final answer
    x = 107.92

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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.