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Finding the Fourth Proportional to 170.53, 255.61 and 109.70

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Solution

The fourth proportional to 170.53, 255.61 and 109.70 is: 164.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.53 : 255.61 = 109.70 : x
  2. Step 2: Convert to fraction form
    170.53/255.61 = 109.70/x
  3. Step 3: Cross multiply
    170.53x = 255.61 × 109.70
  4. Step 4: Simplify right side
    170.53x = 28,041.98
  5. Step 5: Solve for x
    x = 28,041.98/170.53
  6. Step 6: Final answer
    x = 164.44

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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.