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Finding the Fourth Proportional to 78.34, 116.97 and 75.54

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Solution

The fourth proportional to 78.34, 116.97 and 75.54 is: 112.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.34 : 116.97 = 75.54 : x
  2. Step 2: Convert to fraction form
    78.34/116.97 = 75.54/x
  3. Step 3: Cross multiply
    78.34x = 116.97 × 75.54
  4. Step 4: Simplify right side
    78.34x = 8,835.91
  5. Step 5: Solve for x
    x = 8,835.91/78.34
  6. Step 6: Final answer
    x = 112.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.