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Finding the Fourth Proportional to 31.42, 46.84 and 27.82

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Solution

The fourth proportional to 31.42, 46.84 and 27.82 is: 41.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.42 : 46.84 = 27.82 : x
  2. Step 2: Convert to fraction form
    31.42/46.84 = 27.82/x
  3. Step 3: Cross multiply
    31.42x = 46.84 × 27.82
  4. Step 4: Simplify right side
    31.42x = 1,303.09
  5. Step 5: Solve for x
    x = 1,303.09/31.42
  6. Step 6: Final answer
    x = 41.47

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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.