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Finding the Fourth Proportional to 80.66, 121.06 and 32.58

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Solution

The fourth proportional to 80.66, 121.06 and 32.58 is: 48.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.66 : 121.06 = 32.58 : x
  2. Step 2: Convert to fraction form
    80.66/121.06 = 32.58/x
  3. Step 3: Cross multiply
    80.66x = 121.06 × 32.58
  4. Step 4: Simplify right side
    80.66x = 3,944.13
  5. Step 5: Solve for x
    x = 3,944.13/80.66
  6. Step 6: Final answer
    x = 48.90

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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.