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Finding the Fourth Proportional to 107.69, 161.38 and 78.63

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Solution

The fourth proportional to 107.69, 161.38 and 78.63 is: 117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.69 : 161.38 = 78.63 : x
  2. Step 2: Convert to fraction form
    107.69/161.38 = 78.63/x
  3. Step 3: Cross multiply
    107.69x = 161.38 × 78.63
  4. Step 4: Simplify right side
    107.69x = 12,688.11
  5. Step 5: Solve for x
    x = 12,688.11/107.69
  6. Step 6: Final answer
    x = 117.83

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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.