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Finding the Fourth Proportional to 104.17, 143.79 and 71.42

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Solution

The fourth proportional to 104.17, 143.79 and 71.42 is: 98.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.17 : 143.79 = 71.42 : x
  2. Step 2: Convert to fraction form
    104.17/143.79 = 71.42/x
  3. Step 3: Cross multiply
    104.17x = 143.79 × 71.42
  4. Step 4: Simplify right side
    104.17x = 10,269.48
  5. Step 5: Solve for x
    x = 10,269.48/104.17
  6. Step 6: Final answer
    x = 98.58

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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.