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Finding the Fourth Proportional to 30.81, 45.97 and 29.09

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Solution

The fourth proportional to 30.81, 45.97 and 29.09 is: 43.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.81 : 45.97 = 29.09 : x
  2. Step 2: Convert to fraction form
    30.81/45.97 = 29.09/x
  3. Step 3: Cross multiply
    30.81x = 45.97 × 29.09
  4. Step 4: Simplify right side
    30.81x = 1,336.96
  5. Step 5: Solve for x
    x = 1,336.96/30.81
  6. Step 6: Final answer
    x = 43.39

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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.