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Finding the Fourth Proportional to 113.86, 170.85 and 49.74

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Solution

The fourth proportional to 113.86, 170.85 and 49.74 is: 74.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.86 : 170.85 = 49.74 : x
  2. Step 2: Convert to fraction form
    113.86/170.85 = 49.74/x
  3. Step 3: Cross multiply
    113.86x = 170.85 × 49.74
  4. Step 4: Simplify right side
    113.86x = 8,498.08
  5. Step 5: Solve for x
    x = 8,498.08/113.86
  6. Step 6: Final answer
    x = 74.64

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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.