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Finding the Fourth Proportional to 47.31, 70.84 and 29.22

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Solution

The fourth proportional to 47.31, 70.84 and 29.22 is: 43.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.31 : 70.84 = 29.22 : x
  2. Step 2: Convert to fraction form
    47.31/70.84 = 29.22/x
  3. Step 3: Cross multiply
    47.31x = 70.84 × 29.22
  4. Step 4: Simplify right side
    47.31x = 2,069.94
  5. Step 5: Solve for x
    x = 2,069.94/47.31
  6. Step 6: Final answer
    x = 43.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.