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Finding the Fourth Proportional to 120.59, 166.33 and 76.29

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Solution

The fourth proportional to 120.59, 166.33 and 76.29 is: 105.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.59 : 166.33 = 76.29 : x
  2. Step 2: Convert to fraction form
    120.59/166.33 = 76.29/x
  3. Step 3: Cross multiply
    120.59x = 166.33 × 76.29
  4. Step 4: Simplify right side
    120.59x = 12,689.32
  5. Step 5: Solve for x
    x = 12,689.32/120.59
  6. Step 6: Final answer
    x = 105.23

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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.