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Finding the Fourth Proportional to 113.83, 170.79 and 77.74

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Solution

The fourth proportional to 113.83, 170.79 and 77.74 is: 116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.83 : 170.79 = 77.74 : x
  2. Step 2: Convert to fraction form
    113.83/170.79 = 77.74/x
  3. Step 3: Cross multiply
    113.83x = 170.79 × 77.74
  4. Step 4: Simplify right side
    113.83x = 13,277.21
  5. Step 5: Solve for x
    x = 13,277.21/113.83
  6. Step 6: Final answer
    x = 116.64

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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.