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Finding the Fourth Proportional to 47.79, 71.70 and 29.73

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Solution

The fourth proportional to 47.79, 71.70 and 29.73 is: 44.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.79 : 71.70 = 29.73 : x
  2. Step 2: Convert to fraction form
    47.79/71.70 = 29.73/x
  3. Step 3: Cross multiply
    47.79x = 71.70 × 29.73
  4. Step 4: Simplify right side
    47.79x = 2,131.64
  5. Step 5: Solve for x
    x = 2,131.64/47.79
  6. Step 6: Final answer
    x = 44.60

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