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Finding the Fourth Proportional to 123.82, 170.86 and 71.37

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Solution

The fourth proportional to 123.82, 170.86 and 71.37 is: 98.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.82 : 170.86 = 71.37 : x
  2. Step 2: Convert to fraction form
    123.82/170.86 = 71.37/x
  3. Step 3: Cross multiply
    123.82x = 170.86 × 71.37
  4. Step 4: Simplify right side
    123.82x = 12,193.92
  5. Step 5: Solve for x
    x = 12,193.92/123.82
  6. Step 6: Final answer
    x = 98.48

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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.