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Finding the Fourth Proportional to 116.82, 161.14 and 78.01

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Solution

The fourth proportional to 116.82, 161.14 and 78.01 is: 107.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.82 : 161.14 = 78.01 : x
  2. Step 2: Convert to fraction form
    116.82/161.14 = 78.01/x
  3. Step 3: Cross multiply
    116.82x = 161.14 × 78.01
  4. Step 4: Simplify right side
    116.82x = 12,570.53
  5. Step 5: Solve for x
    x = 12,570.53/116.82
  6. Step 6: Final answer
    x = 107.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.