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Finding the Fourth Proportional to 31.81, 47.46 and 30.09

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Solution

The fourth proportional to 31.81, 47.46 and 30.09 is: 44.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.81 : 47.46 = 30.09 : x
  2. Step 2: Convert to fraction form
    31.81/47.46 = 30.09/x
  3. Step 3: Cross multiply
    31.81x = 47.46 × 30.09
  4. Step 4: Simplify right side
    31.81x = 1,428.07
  5. Step 5: Solve for x
    x = 1,428.07/31.81
  6. Step 6: Final answer
    x = 44.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.