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Finding the Fourth Proportional to 78.34, 116.67 and 76.45

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Solution

The fourth proportional to 78.34, 116.67 and 76.45 is: 113.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.34 : 116.67 = 76.45 : x
  2. Step 2: Convert to fraction form
    78.34/116.67 = 76.45/x
  3. Step 3: Cross multiply
    78.34x = 116.67 × 76.45
  4. Step 4: Simplify right side
    78.34x = 8,919.42
  5. Step 5: Solve for x
    x = 8,919.42/78.34
  6. Step 6: Final answer
    x = 113.86

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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.