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Finding the Fourth Proportional to 78.17, 116.96 and 75.74

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Solution

The fourth proportional to 78.17, 116.96 and 75.74 is: 113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.17 : 116.96 = 75.74 : x
  2. Step 2: Convert to fraction form
    78.17/116.96 = 75.74/x
  3. Step 3: Cross multiply
    78.17x = 116.96 × 75.74
  4. Step 4: Simplify right side
    78.17x = 8,857.59
  5. Step 5: Solve for x
    x = 8,857.59/78.17
  6. Step 6: Final answer
    x = 113.32

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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.