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Finding the Fourth Proportional to 65.10, 89.82 and 41.80

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Solution

The fourth proportional to 65.10, 89.82 and 41.80 is: 57.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.10 : 89.82 = 41.80 : x
  2. Step 2: Convert to fraction form
    65.10/89.82 = 41.80/x
  3. Step 3: Cross multiply
    65.10x = 89.82 × 41.80
  4. Step 4: Simplify right side
    65.10x = 3,754.92
  5. Step 5: Solve for x
    x = 3,754.92/65.10
  6. Step 6: Final answer
    x = 57.68

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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.