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Finding the Fourth Proportional to 113.35, 170.02 and 27.85

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Solution

The fourth proportional to 113.35, 170.02 and 27.85 is: 41.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.35 : 170.02 = 27.85 : x
  2. Step 2: Convert to fraction form
    113.35/170.02 = 27.85/x
  3. Step 3: Cross multiply
    113.35x = 170.02 × 27.85
  4. Step 4: Simplify right side
    113.35x = 4,734.07
  5. Step 5: Solve for x
    x = 4,734.07/113.35
  6. Step 6: Final answer
    x = 41.77

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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.