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Finding the Fourth Proportional to 120.87, 180.36 and 106.29

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Solution

The fourth proportional to 120.87, 180.36 and 106.29 is: 158.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.87 : 180.36 = 106.29 : x
  2. Step 2: Convert to fraction form
    120.87/180.36 = 106.29/x
  3. Step 3: Cross multiply
    120.87x = 180.36 × 106.29
  4. Step 4: Simplify right side
    120.87x = 19,170.46
  5. Step 5: Solve for x
    x = 19,170.46/120.87
  6. Step 6: Final answer
    x = 158.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.