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Finding the Fourth Proportional to 98.81, 136.24 and 71.27

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Solution

The fourth proportional to 98.81, 136.24 and 71.27 is: 98.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.81 : 136.24 = 71.27 : x
  2. Step 2: Convert to fraction form
    98.81/136.24 = 71.27/x
  3. Step 3: Cross multiply
    98.81x = 136.24 × 71.27
  4. Step 4: Simplify right side
    98.81x = 9,709.82
  5. Step 5: Solve for x
    x = 9,709.82/98.81
  6. Step 6: Final answer
    x = 98.27

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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.