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Finding the Fourth Proportional to 315.05, 472.57 and 109.61

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Solution

The fourth proportional to 315.05, 472.57 and 109.61 is: 164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.05 : 472.57 = 109.61 : x
  2. Step 2: Convert to fraction form
    315.05/472.57 = 109.61/x
  3. Step 3: Cross multiply
    315.05x = 472.57 × 109.61
  4. Step 4: Simplify right side
    315.05x = 51,799.31
  5. Step 5: Solve for x
    x = 51,799.31/315.05
  6. Step 6: Final answer
    x = 164.42

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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.