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Finding the Fourth Proportional to 54.71, 75.38 and 40.89

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Solution

The fourth proportional to 54.71, 75.38 and 40.89 is: 56.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.71 : 75.38 = 40.89 : x
  2. Step 2: Convert to fraction form
    54.71/75.38 = 40.89/x
  3. Step 3: Cross multiply
    54.71x = 75.38 × 40.89
  4. Step 4: Simplify right side
    54.71x = 3,082.29
  5. Step 5: Solve for x
    x = 3,082.29/54.71
  6. Step 6: Final answer
    x = 56.34

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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.