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Finding the Fourth Proportional to 49.77, 68.52 and 40.05

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Solution

The fourth proportional to 49.77, 68.52 and 40.05 is: 55.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.77 : 68.52 = 40.05 : x
  2. Step 2: Convert to fraction form
    49.77/68.52 = 40.05/x
  3. Step 3: Cross multiply
    49.77x = 68.52 × 40.05
  4. Step 4: Simplify right side
    49.77x = 2,744.23
  5. Step 5: Solve for x
    x = 2,744.23/49.77
  6. Step 6: Final answer
    x = 55.14

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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.