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Finding the Fourth Proportional to 46.31, 63.91 and 27.89

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Solution

The fourth proportional to 46.31, 63.91 and 27.89 is: 38.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.31 : 63.91 = 27.89 : x
  2. Step 2: Convert to fraction form
    46.31/63.91 = 27.89/x
  3. Step 3: Cross multiply
    46.31x = 63.91 × 27.89
  4. Step 4: Simplify right side
    46.31x = 1,782.84
  5. Step 5: Solve for x
    x = 1,782.84/46.31
  6. Step 6: Final answer
    x = 38.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.