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Finding the Fourth Proportional to 49.96, 74.99 and 24.31

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Solution

The fourth proportional to 49.96, 74.99 and 24.31 is: 36.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.96 : 74.99 = 24.31 : x
  2. Step 2: Convert to fraction form
    49.96/74.99 = 24.31/x
  3. Step 3: Cross multiply
    49.96x = 74.99 × 24.31
  4. Step 4: Simplify right side
    49.96x = 1,823.01
  5. Step 5: Solve for x
    x = 1,823.01/49.96
  6. Step 6: Final answer
    x = 36.49

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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.