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Finding the Fourth Proportional to 143.58, 215.11 and 82.58

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Solution

The fourth proportional to 143.58, 215.11 and 82.58 is: 123.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.58 : 215.11 = 82.58 : x
  2. Step 2: Convert to fraction form
    143.58/215.11 = 82.58/x
  3. Step 3: Cross multiply
    143.58x = 215.11 × 82.58
  4. Step 4: Simplify right side
    143.58x = 17,764.38
  5. Step 5: Solve for x
    x = 17,764.38/143.58
  6. Step 6: Final answer
    x = 123.73

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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.