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Finding the Fourth Proportional to 31.24, 46.49 and 30.61

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Solution

The fourth proportional to 31.24, 46.49 and 30.61 is: 45.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.24 : 46.49 = 30.61 : x
  2. Step 2: Convert to fraction form
    31.24/46.49 = 30.61/x
  3. Step 3: Cross multiply
    31.24x = 46.49 × 30.61
  4. Step 4: Simplify right side
    31.24x = 1,423.06
  5. Step 5: Solve for x
    x = 1,423.06/31.24
  6. Step 6: Final answer
    x = 45.55

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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.