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Finding the Fourth Proportional to 31.69, 47.59 and 30.11

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Solution

The fourth proportional to 31.69, 47.59 and 30.11 is: 45.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.69 : 47.59 = 30.11 : x
  2. Step 2: Convert to fraction form
    31.69/47.59 = 30.11/x
  3. Step 3: Cross multiply
    31.69x = 47.59 × 30.11
  4. Step 4: Simplify right side
    31.69x = 1,432.62
  5. Step 5: Solve for x
    x = 1,432.62/31.69
  6. Step 6: Final answer
    x = 45.21

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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.