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Finding the Fourth Proportional to 31.24, 46.56 and 30.94

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Solution

The fourth proportional to 31.24, 46.56 and 30.94 is: 46.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.24 : 46.56 = 30.94 : x
  2. Step 2: Convert to fraction form
    31.24/46.56 = 30.94/x
  3. Step 3: Cross multiply
    31.24x = 46.56 × 30.94
  4. Step 4: Simplify right side
    31.24x = 1,440.57
  5. Step 5: Solve for x
    x = 1,440.57/31.24
  6. Step 6: Final answer
    x = 46.11

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Why These Related Problems?

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