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Finding the Fourth Proportional to 53.58, 80.02 and 41.42

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Solution

The fourth proportional to 53.58, 80.02 and 41.42 is: 61.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.58 : 80.02 = 41.42 : x
  2. Step 2: Convert to fraction form
    53.58/80.02 = 41.42/x
  3. Step 3: Cross multiply
    53.58x = 80.02 × 41.42
  4. Step 4: Simplify right side
    53.58x = 3,314.43
  5. Step 5: Solve for x
    x = 3,314.43/53.58
  6. Step 6: Final answer
    x = 61.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.