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Finding the Fourth Proportional to 143.35, 215.08 and 71.17

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Solution

The fourth proportional to 143.35, 215.08 and 71.17 is: 106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.35 : 215.08 = 71.17 : x
  2. Step 2: Convert to fraction form
    143.35/215.08 = 71.17/x
  3. Step 3: Cross multiply
    143.35x = 215.08 × 71.17
  4. Step 4: Simplify right side
    143.35x = 15,306.53
  5. Step 5: Solve for x
    x = 15,306.53/143.35
  6. Step 6: Final answer
    x = 106.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.