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Finding the Fourth Proportional to 47.89, 66.09 and 30.42

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Solution

The fourth proportional to 47.89, 66.09 and 30.42 is: 41.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.89 : 66.09 = 30.42 : x
  2. Step 2: Convert to fraction form
    47.89/66.09 = 30.42/x
  3. Step 3: Cross multiply
    47.89x = 66.09 × 30.42
  4. Step 4: Simplify right side
    47.89x = 2,010.46
  5. Step 5: Solve for x
    x = 2,010.46/47.89
  6. Step 6: Final answer
    x = 41.98

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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.