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Finding the Fourth Proportional to 116.92, 175.11 and 78.34

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Solution

The fourth proportional to 116.92, 175.11 and 78.34 is: 117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.92 : 175.11 = 78.34 : x
  2. Step 2: Convert to fraction form
    116.92/175.11 = 78.34/x
  3. Step 3: Cross multiply
    116.92x = 175.11 × 78.34
  4. Step 4: Simplify right side
    116.92x = 13,718.12
  5. Step 5: Solve for x
    x = 13,718.12/116.92
  6. Step 6: Final answer
    x = 117.33

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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.