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Finding the Fourth Proportional to 143.24, 214.83 and 40.51

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Solution

The fourth proportional to 143.24, 214.83 and 40.51 is: 60.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.24 : 214.83 = 40.51 : x
  2. Step 2: Convert to fraction form
    143.24/214.83 = 40.51/x
  3. Step 3: Cross multiply
    143.24x = 214.83 × 40.51
  4. Step 4: Simplify right side
    143.24x = 8,703.03
  5. Step 5: Solve for x
    x = 8,703.03/143.24
  6. Step 6: Final answer
    x = 60.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.