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Finding the Fourth Proportional to 120.53, 180.49 and 105.04

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Solution

The fourth proportional to 120.53, 180.49 and 105.04 is: 157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.53 : 180.49 = 105.04 : x
  2. Step 2: Convert to fraction form
    120.53/180.49 = 105.04/x
  3. Step 3: Cross multiply
    120.53x = 180.49 × 105.04
  4. Step 4: Simplify right side
    120.53x = 18,957.24
  5. Step 5: Solve for x
    x = 18,957.24/120.53
  6. Step 6: Final answer
    x = 157.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.