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Finding the Fourth Proportional to 120.31, 165.94 and 76.57

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Solution

The fourth proportional to 120.31, 165.94 and 76.57 is: 105.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.31 : 165.94 = 76.57 : x
  2. Step 2: Convert to fraction form
    120.31/165.94 = 76.57/x
  3. Step 3: Cross multiply
    120.31x = 165.94 × 76.57
  4. Step 4: Simplify right side
    120.31x = 12,705.42
  5. Step 5: Solve for x
    x = 12,705.42/120.31
  6. Step 6: Final answer
    x = 105.61

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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.