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Finding the Fourth Proportional to 54.50, 75.22 and 49.10

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Solution

The fourth proportional to 54.50, 75.22 and 49.10 is: 67.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.50 : 75.22 = 49.10 : x
  2. Step 2: Convert to fraction form
    54.50/75.22 = 49.10/x
  3. Step 3: Cross multiply
    54.50x = 75.22 × 49.10
  4. Step 4: Simplify right side
    54.50x = 3,693.30
  5. Step 5: Solve for x
    x = 3,693.30/54.50
  6. Step 6: Final answer
    x = 67.77

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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.