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Finding the Fourth Proportional to 53.84, 74.22 and 41.54

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Solution

The fourth proportional to 53.84, 74.22 and 41.54 is: 57.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.84 : 74.22 = 41.54 : x
  2. Step 2: Convert to fraction form
    53.84/74.22 = 41.54/x
  3. Step 3: Cross multiply
    53.84x = 74.22 × 41.54
  4. Step 4: Simplify right side
    53.84x = 3,083.10
  5. Step 5: Solve for x
    x = 3,083.10/53.84
  6. Step 6: Final answer
    x = 57.26

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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.