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Finding the Fourth Proportional to 143.15, 214.64 and 78.09

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Solution

The fourth proportional to 143.15, 214.64 and 78.09 is: 117.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.15 : 214.64 = 78.09 : x
  2. Step 2: Convert to fraction form
    143.15/214.64 = 78.09/x
  3. Step 3: Cross multiply
    143.15x = 214.64 × 78.09
  4. Step 4: Simplify right side
    143.15x = 16,761.24
  5. Step 5: Solve for x
    x = 16,761.24/143.15
  6. Step 6: Final answer
    x = 117.09

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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.