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Finding the Fourth Proportional to 31.33, 46.61 and 31.05

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Solution

The fourth proportional to 31.33, 46.61 and 31.05 is: 46.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.33 : 46.61 = 31.05 : x
  2. Step 2: Convert to fraction form
    31.33/46.61 = 31.05/x
  3. Step 3: Cross multiply
    31.33x = 46.61 × 31.05
  4. Step 4: Simplify right side
    31.33x = 1,447.24
  5. Step 5: Solve for x
    x = 1,447.24/31.33
  6. Step 6: Final answer
    x = 46.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.