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Finding the Fourth Proportional to 98.75, 136.23 and 71.12

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Solution

The fourth proportional to 98.75, 136.23 and 71.12 is: 98.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.75 : 136.23 = 71.12 : x
  2. Step 2: Convert to fraction form
    98.75/136.23 = 71.12/x
  3. Step 3: Cross multiply
    98.75x = 136.23 × 71.12
  4. Step 4: Simplify right side
    98.75x = 9,688.68
  5. Step 5: Solve for x
    x = 9,688.68/98.75
  6. Step 6: Final answer
    x = 98.11

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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.