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Finding the Fourth Proportional to 80.47, 120.67 and 46.45

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Solution

The fourth proportional to 80.47, 120.67 and 46.45 is: 69.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.47 : 120.67 = 46.45 : x
  2. Step 2: Convert to fraction form
    80.47/120.67 = 46.45/x
  3. Step 3: Cross multiply
    80.47x = 120.67 × 46.45
  4. Step 4: Simplify right side
    80.47x = 5,605.12
  5. Step 5: Solve for x
    x = 5,605.12/80.47
  6. Step 6: Final answer
    x = 69.65

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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.