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Finding the Fourth Proportional to 54.92, 75.78 and 41.60

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Solution

The fourth proportional to 54.92, 75.78 and 41.60 is: 57.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.92 : 75.78 = 41.60 : x
  2. Step 2: Convert to fraction form
    54.92/75.78 = 41.60/x
  3. Step 3: Cross multiply
    54.92x = 75.78 × 41.60
  4. Step 4: Simplify right side
    54.92x = 3,152.45
  5. Step 5: Solve for x
    x = 3,152.45/54.92
  6. Step 6: Final answer
    x = 57.40

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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.