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Finding the Fourth Proportional to 47.90, 66.07 and 29.48

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Solution

The fourth proportional to 47.90, 66.07 and 29.48 is: 40.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.90 : 66.07 = 29.48 : x
  2. Step 2: Convert to fraction form
    47.90/66.07 = 29.48/x
  3. Step 3: Cross multiply
    47.90x = 66.07 × 29.48
  4. Step 4: Simplify right side
    47.90x = 1,947.74
  5. Step 5: Solve for x
    x = 1,947.74/47.90
  6. Step 6: Final answer
    x = 40.66

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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.