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Finding the Fourth Proportional to 54.42, 75.01 and 41.29

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Solution

The fourth proportional to 54.42, 75.01 and 41.29 is: 56.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.42 : 75.01 = 41.29 : x
  2. Step 2: Convert to fraction form
    54.42/75.01 = 41.29/x
  3. Step 3: Cross multiply
    54.42x = 75.01 × 41.29
  4. Step 4: Simplify right side
    54.42x = 3,097.16
  5. Step 5: Solve for x
    x = 3,097.16/54.42
  6. Step 6: Final answer
    x = 56.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.