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Finding the Fourth Proportional to 65.49, 90.37 and 36.38

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Solution

The fourth proportional to 65.49, 90.37 and 36.38 is: 50.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.49 : 90.37 = 36.38 : x
  2. Step 2: Convert to fraction form
    65.49/90.37 = 36.38/x
  3. Step 3: Cross multiply
    65.49x = 90.37 × 36.38
  4. Step 4: Simplify right side
    65.49x = 3,287.66
  5. Step 5: Solve for x
    x = 3,287.66/65.49
  6. Step 6: Final answer
    x = 50.20

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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.