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Finding the Fourth Proportional to 80.66, 120.93 and 31.86

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Solution

The fourth proportional to 80.66, 120.93 and 31.86 is: 47.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.66 : 120.93 = 31.86 : x
  2. Step 2: Convert to fraction form
    80.66/120.93 = 31.86/x
  3. Step 3: Cross multiply
    80.66x = 120.93 × 31.86
  4. Step 4: Simplify right side
    80.66x = 3,852.83
  5. Step 5: Solve for x
    x = 3,852.83/80.66
  6. Step 6: Final answer
    x = 47.77

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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.