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Finding the Fourth Proportional to 120.48, 180.70 and 32.62

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Solution

The fourth proportional to 120.48, 180.70 and 32.62 is: 48.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.48 : 180.70 = 32.62 : x
  2. Step 2: Convert to fraction form
    120.48/180.70 = 32.62/x
  3. Step 3: Cross multiply
    120.48x = 180.70 × 32.62
  4. Step 4: Simplify right side
    120.48x = 5,894.43
  5. Step 5: Solve for x
    x = 5,894.43/120.48
  6. Step 6: Final answer
    x = 48.92

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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.