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Finding the Fourth Proportional to 31.83, 47.45 and 31.49

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Solution

The fourth proportional to 31.83, 47.45 and 31.49 is: 46.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.83 : 47.45 = 31.49 : x
  2. Step 2: Convert to fraction form
    31.83/47.45 = 31.49/x
  3. Step 3: Cross multiply
    31.83x = 47.45 × 31.49
  4. Step 4: Simplify right side
    31.83x = 1,494.22
  5. Step 5: Solve for x
    x = 1,494.22/31.83
  6. Step 6: Final answer
    x = 46.95

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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.