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Finding the Fourth Proportional to 45.81, 63.18 and 30.24

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Solution

The fourth proportional to 45.81, 63.18 and 30.24 is: 41.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.81 : 63.18 = 30.24 : x
  2. Step 2: Convert to fraction form
    45.81/63.18 = 30.24/x
  3. Step 3: Cross multiply
    45.81x = 63.18 × 30.24
  4. Step 4: Simplify right side
    45.81x = 1,910.56
  5. Step 5: Solve for x
    x = 1,910.56/45.81
  6. Step 6: Final answer
    x = 41.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.