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Finding the Fourth Proportional to 53.54, 73.86 and 41.86

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Solution

The fourth proportional to 53.54, 73.86 and 41.86 is: 57.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.54 : 73.86 = 41.86 : x
  2. Step 2: Convert to fraction form
    53.54/73.86 = 41.86/x
  3. Step 3: Cross multiply
    53.54x = 73.86 × 41.86
  4. Step 4: Simplify right side
    53.54x = 3,091.78
  5. Step 5: Solve for x
    x = 3,091.78/53.54
  6. Step 6: Final answer
    x = 57.75

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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.