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Finding the Fourth Proportional to 120.26, 165.86 and 76.58

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Solution

The fourth proportional to 120.26, 165.86 and 76.58 is: 105.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.26 : 165.86 = 76.58 : x
  2. Step 2: Convert to fraction form
    120.26/165.86 = 76.58/x
  3. Step 3: Cross multiply
    120.26x = 165.86 × 76.58
  4. Step 4: Simplify right side
    120.26x = 12,701.56
  5. Step 5: Solve for x
    x = 12,701.56/120.26
  6. Step 6: Final answer
    x = 105.62

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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.