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Finding the Fourth Proportional to 116.34, 174.59 and 109.16

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Solution

The fourth proportional to 116.34, 174.59 and 109.16 is: 163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.34 : 174.59 = 109.16 : x
  2. Step 2: Convert to fraction form
    116.34/174.59 = 109.16/x
  3. Step 3: Cross multiply
    116.34x = 174.59 × 109.16
  4. Step 4: Simplify right side
    116.34x = 19,058.87
  5. Step 5: Solve for x
    x = 19,058.87/116.34
  6. Step 6: Final answer
    x = 163.83

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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.