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Finding the Fourth Proportional to 30.81, 46.12 and 24.06

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Solution

The fourth proportional to 30.81, 46.12 and 24.06 is: 36.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.81 : 46.12 = 24.06 : x
  2. Step 2: Convert to fraction form
    30.81/46.12 = 24.06/x
  3. Step 3: Cross multiply
    30.81x = 46.12 × 24.06
  4. Step 4: Simplify right side
    30.81x = 1,109.65
  5. Step 5: Solve for x
    x = 1,109.65/30.81
  6. Step 6: Final answer
    x = 36.02

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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.