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Finding the Fourth Proportional to 53.90, 80.78 and 41.62

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Solution

The fourth proportional to 53.90, 80.78 and 41.62 is: 62.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.90 : 80.78 = 41.62 : x
  2. Step 2: Convert to fraction form
    53.90/80.78 = 41.62/x
  3. Step 3: Cross multiply
    53.90x = 80.78 × 41.62
  4. Step 4: Simplify right side
    53.90x = 3,362.06
  5. Step 5: Solve for x
    x = 3,362.06/53.90
  6. Step 6: Final answer
    x = 62.38

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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.