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Finding the Fourth Proportional to 143.84, 216 and 112.04

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Solution

The fourth proportional to 143.84, 216 and 112.04 is: 168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.84 : 216 = 112.04 : x
  2. Step 2: Convert to fraction form
    143.84/216 = 112.04/x
  3. Step 3: Cross multiply
    143.84x = 216 × 112.04
  4. Step 4: Simplify right side
    143.84x = 24,200.64
  5. Step 5: Solve for x
    x = 24,200.64/143.84
  6. Step 6: Final answer
    x = 168.25

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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.