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Finding the Fourth Proportional to 120.17, 180.25 and 43.10

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Solution

The fourth proportional to 120.17, 180.25 and 43.10 is: 64.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.17 : 180.25 = 43.10 : x
  2. Step 2: Convert to fraction form
    120.17/180.25 = 43.10/x
  3. Step 3: Cross multiply
    120.17x = 180.25 × 43.10
  4. Step 4: Simplify right side
    120.17x = 7,769.46
  5. Step 5: Solve for x
    x = 7,769.46/120.17
  6. Step 6: Final answer
    x = 64.66

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