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Finding the Fourth Proportional to 31.18, 46.97 and 30.91

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Solution

The fourth proportional to 31.18, 46.97 and 30.91 is: 46.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.18 : 46.97 = 30.91 : x
  2. Step 2: Convert to fraction form
    31.18/46.97 = 30.91/x
  3. Step 3: Cross multiply
    31.18x = 46.97 × 30.91
  4. Step 4: Simplify right side
    31.18x = 1,451.84
  5. Step 5: Solve for x
    x = 1,451.84/31.18
  6. Step 6: Final answer
    x = 46.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.