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Finding the Fourth Proportional to 120.26, 179.51 and 103.25

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Solution

The fourth proportional to 120.26, 179.51 and 103.25 is: 154.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.26 : 179.51 = 103.25 : x
  2. Step 2: Convert to fraction form
    120.26/179.51 = 103.25/x
  3. Step 3: Cross multiply
    120.26x = 179.51 × 103.25
  4. Step 4: Simplify right side
    120.26x = 18,534.13
  5. Step 5: Solve for x
    x = 18,534.13/120.26
  6. Step 6: Final answer
    x = 154.12

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