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Finding the Fourth Proportional to 54.71, 75.47 and 40.91

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Solution

The fourth proportional to 54.71, 75.47 and 40.91 is: 56.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.71 : 75.47 = 40.91 : x
  2. Step 2: Convert to fraction form
    54.71/75.47 = 40.91/x
  3. Step 3: Cross multiply
    54.71x = 75.47 × 40.91
  4. Step 4: Simplify right side
    54.71x = 3,086.90
  5. Step 5: Solve for x
    x = 3,086.90/54.71
  6. Step 6: Final answer
    x = 56.42

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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.