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Finding the Fourth Proportional to 30.91, 46.29 and 24.09

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Solution

The fourth proportional to 30.91, 46.29 and 24.09 is: 36.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.91 : 46.29 = 24.09 : x
  2. Step 2: Convert to fraction form
    30.91/46.29 = 24.09/x
  3. Step 3: Cross multiply
    30.91x = 46.29 × 24.09
  4. Step 4: Simplify right side
    30.91x = 1,115.13
  5. Step 5: Solve for x
    x = 1,115.13/30.91
  6. Step 6: Final answer
    x = 36.08

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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.