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Finding the Fourth Proportional to 53.42, 80.02 and 41.95

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Solution

The fourth proportional to 53.42, 80.02 and 41.95 is: 62.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.42 : 80.02 = 41.95 : x
  2. Step 2: Convert to fraction form
    53.42/80.02 = 41.95/x
  3. Step 3: Cross multiply
    53.42x = 80.02 × 41.95
  4. Step 4: Simplify right side
    53.42x = 3,356.84
  5. Step 5: Solve for x
    x = 3,356.84/53.42
  6. Step 6: Final answer
    x = 62.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.