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Finding the Fourth Proportional to 31, 46.28 and 28.74

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Solution

The fourth proportional to 31, 46.28 and 28.74 is: 42.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31 : 46.28 = 28.74 : x
  2. Step 2: Convert to fraction form
    31/46.28 = 28.74/x
  3. Step 3: Cross multiply
    31x = 46.28 × 28.74
  4. Step 4: Simplify right side
    31x = 1,330.09
  5. Step 5: Solve for x
    x = 1,330.09/31
  6. Step 6: Final answer
    x = 42.91

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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.