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Finding the Fourth Proportional to 143.98, 215.76 and 71.89

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Solution

The fourth proportional to 143.98, 215.76 and 71.89 is: 107.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.98 : 215.76 = 71.89 : x
  2. Step 2: Convert to fraction form
    143.98/215.76 = 71.89/x
  3. Step 3: Cross multiply
    143.98x = 215.76 × 71.89
  4. Step 4: Simplify right side
    143.98x = 15,510.72
  5. Step 5: Solve for x
    x = 15,510.72/143.98
  6. Step 6: Final answer
    x = 107.73

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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.