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Finding the Fourth Proportional to 65.92, 90.98 and 41.38

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Solution

The fourth proportional to 65.92, 90.98 and 41.38 is: 57.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.92 : 90.98 = 41.38 : x
  2. Step 2: Convert to fraction form
    65.92/90.98 = 41.38/x
  3. Step 3: Cross multiply
    65.92x = 90.98 × 41.38
  4. Step 4: Simplify right side
    65.92x = 3,764.75
  5. Step 5: Solve for x
    x = 3,764.75/65.92
  6. Step 6: Final answer
    x = 57.11

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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.