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Finding the Fourth Proportional to 120.16, 165.86 and 78.76

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Solution

The fourth proportional to 120.16, 165.86 and 78.76 is: 108.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.16 : 165.86 = 78.76 : x
  2. Step 2: Convert to fraction form
    120.16/165.86 = 78.76/x
  3. Step 3: Cross multiply
    120.16x = 165.86 × 78.76
  4. Step 4: Simplify right side
    120.16x = 13,063.13
  5. Step 5: Solve for x
    x = 13,063.13/120.16
  6. Step 6: Final answer
    x = 108.71

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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.