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Finding the Fourth Proportional to 120.88, 179.95 and 115.29

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Solution

The fourth proportional to 120.88, 179.95 and 115.29 is: 171.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.88 : 179.95 = 115.29 : x
  2. Step 2: Convert to fraction form
    120.88/179.95 = 115.29/x
  3. Step 3: Cross multiply
    120.88x = 179.95 × 115.29
  4. Step 4: Simplify right side
    120.88x = 20,746.44
  5. Step 5: Solve for x
    x = 20,746.44/120.88
  6. Step 6: Final answer
    x = 171.63

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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.