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Finding the Fourth Proportional to 65.14, 97.67 and 36.23

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Solution

The fourth proportional to 65.14, 97.67 and 36.23 is: 54.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.14 : 97.67 = 36.23 : x
  2. Step 2: Convert to fraction form
    65.14/97.67 = 36.23/x
  3. Step 3: Cross multiply
    65.14x = 97.67 × 36.23
  4. Step 4: Simplify right side
    65.14x = 3,538.19
  5. Step 5: Solve for x
    x = 3,538.19/65.14
  6. Step 6: Final answer
    x = 54.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.