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Finding the Fourth Proportional to 81.99, 113.13 and 47.01

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Solution

The fourth proportional to 81.99, 113.13 and 47.01 is: 64.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.99 : 113.13 = 47.01 : x
  2. Step 2: Convert to fraction form
    81.99/113.13 = 47.01/x
  3. Step 3: Cross multiply
    81.99x = 113.13 × 47.01
  4. Step 4: Simplify right side
    81.99x = 5,318.67
  5. Step 5: Solve for x
    x = 5,318.67/81.99
  6. Step 6: Final answer
    x = 64.87

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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.