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Finding the Fourth Proportional to 143.84, 215.89 and 70.75

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Solution

The fourth proportional to 143.84, 215.89 and 70.75 is: 106.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.84 : 215.89 = 70.75 : x
  2. Step 2: Convert to fraction form
    143.84/215.89 = 70.75/x
  3. Step 3: Cross multiply
    143.84x = 215.89 × 70.75
  4. Step 4: Simplify right side
    143.84x = 15,274.31
  5. Step 5: Solve for x
    x = 15,274.31/143.84
  6. Step 6: Final answer
    x = 106.19

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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.