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Finding the Fourth Proportional to 65.19, 89.97 and 36.09

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Solution

The fourth proportional to 65.19, 89.97 and 36.09 is: 49.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.19 : 89.97 = 36.09 : x
  2. Step 2: Convert to fraction form
    65.19/89.97 = 36.09/x
  3. Step 3: Cross multiply
    65.19x = 89.97 × 36.09
  4. Step 4: Simplify right side
    65.19x = 3,247.02
  5. Step 5: Solve for x
    x = 3,247.02/65.19
  6. Step 6: Final answer
    x = 49.81

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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.