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Finding the Fourth Proportional to 49.77, 74.67 and 24.09

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Solution

The fourth proportional to 49.77, 74.67 and 24.09 is: 36.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.77 : 74.67 = 24.09 : x
  2. Step 2: Convert to fraction form
    49.77/74.67 = 24.09/x
  3. Step 3: Cross multiply
    49.77x = 74.67 × 24.09
  4. Step 4: Simplify right side
    49.77x = 1,798.80
  5. Step 5: Solve for x
    x = 1,798.80/49.77
  6. Step 6: Final answer
    x = 36.14

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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.