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Finding the Fourth Proportional to 46.20, 69.31 and 31.05

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Solution

The fourth proportional to 46.20, 69.31 and 31.05 is: 46.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.20 : 69.31 = 31.05 : x
  2. Step 2: Convert to fraction form
    46.20/69.31 = 31.05/x
  3. Step 3: Cross multiply
    46.20x = 69.31 × 31.05
  4. Step 4: Simplify right side
    46.20x = 2,151.94
  5. Step 5: Solve for x
    x = 2,151.94/46.20
  6. Step 6: Final answer
    x = 46.58

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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.