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Finding the Fourth Proportional to 47.98, 66.24 and 31.60

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Solution

The fourth proportional to 47.98, 66.24 and 31.60 is: 43.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.98 : 66.24 = 31.60 : x
  2. Step 2: Convert to fraction form
    47.98/66.24 = 31.60/x
  3. Step 3: Cross multiply
    47.98x = 66.24 × 31.60
  4. Step 4: Simplify right side
    47.98x = 2,093.18
  5. Step 5: Solve for x
    x = 2,093.18/47.98
  6. Step 6: Final answer
    x = 43.63

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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.