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Finding the Fourth Proportional to 65.42, 90.26 and 41.81

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Solution

The fourth proportional to 65.42, 90.26 and 41.81 is: 57.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.42 : 90.26 = 41.81 : x
  2. Step 2: Convert to fraction form
    65.42/90.26 = 41.81/x
  3. Step 3: Cross multiply
    65.42x = 90.26 × 41.81
  4. Step 4: Simplify right side
    65.42x = 3,773.50
  5. Step 5: Solve for x
    x = 3,773.50/65.42
  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.