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Finding the Fourth Proportional to 47.89, 66.07 and 30.65

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Solution

The fourth proportional to 47.89, 66.07 and 30.65 is: 42.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.89 : 66.07 = 30.65 : x
  2. Step 2: Convert to fraction form
    47.89/66.07 = 30.65/x
  3. Step 3: Cross multiply
    47.89x = 66.07 × 30.65
  4. Step 4: Simplify right side
    47.89x = 2,024.89
  5. Step 5: Solve for x
    x = 2,024.89/47.89
  6. Step 6: Final answer
    x = 42.28

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