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Finding the Fourth Proportional to 65.74, 90.75 and 41.20

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Solution

The fourth proportional to 65.74, 90.75 and 41.20 is: 56.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.74 : 90.75 = 41.20 : x
  2. Step 2: Convert to fraction form
    65.74/90.75 = 41.20/x
  3. Step 3: Cross multiply
    65.74x = 90.75 × 41.20
  4. Step 4: Simplify right side
    65.74x = 3,738.90
  5. Step 5: Solve for x
    x = 3,738.90/65.74
  6. Step 6: Final answer
    x = 56.87

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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.