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Finding the Fourth Proportional to 65.89, 90.93 and 36.78

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Solution

The fourth proportional to 65.89, 90.93 and 36.78 is: 50.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.89 : 90.93 = 36.78 : x
  2. Step 2: Convert to fraction form
    65.89/90.93 = 36.78/x
  3. Step 3: Cross multiply
    65.89x = 90.93 × 36.78
  4. Step 4: Simplify right side
    65.89x = 3,344.41
  5. Step 5: Solve for x
    x = 3,344.41/65.89
  6. Step 6: Final answer
    x = 50.76

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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.