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Finding the Fourth Proportional to 120.15, 165.84 and 78.75

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Solution

The fourth proportional to 120.15, 165.84 and 78.75 is: 108.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.15 : 165.84 = 78.75 : x
  2. Step 2: Convert to fraction form
    120.15/165.84 = 78.75/x
  3. Step 3: Cross multiply
    120.15x = 165.84 × 78.75
  4. Step 4: Simplify right side
    120.15x = 13,059.90
  5. Step 5: Solve for x
    x = 13,059.90/120.15
  6. Step 6: Final answer
    x = 108.70

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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.