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Finding the Fourth Proportional to 54.92, 75.75 and 41.07

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Solution

The fourth proportional to 54.92, 75.75 and 41.07 is: 56.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.92 : 75.75 = 41.07 : x
  2. Step 2: Convert to fraction form
    54.92/75.75 = 41.07/x
  3. Step 3: Cross multiply
    54.92x = 75.75 × 41.07
  4. Step 4: Simplify right side
    54.92x = 3,111.05
  5. Step 5: Solve for x
    x = 3,111.05/54.92
  6. Step 6: Final answer
    x = 56.65

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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.