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Finding the Fourth Proportional to 143.32, 215.10 and 75.04

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Solution

The fourth proportional to 143.32, 215.10 and 75.04 is: 112.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.32 : 215.10 = 75.04 : x
  2. Step 2: Convert to fraction form
    143.32/215.10 = 75.04/x
  3. Step 3: Cross multiply
    143.32x = 215.10 × 75.04
  4. Step 4: Simplify right side
    143.32x = 16,141.10
  5. Step 5: Solve for x
    x = 16,141.10/143.32
  6. Step 6: Final answer
    x = 112.62

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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.