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Finding the Fourth Proportional to 54.55, 75.21 and 40.69

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Solution

The fourth proportional to 54.55, 75.21 and 40.69 is: 56.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.55 : 75.21 = 40.69 : x
  2. Step 2: Convert to fraction form
    54.55/75.21 = 40.69/x
  3. Step 3: Cross multiply
    54.55x = 75.21 × 40.69
  4. Step 4: Simplify right side
    54.55x = 3,059.92
  5. Step 5: Solve for x
    x = 3,059.92/54.55
  6. Step 6: Final answer
    x = 56.10

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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.