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Finding the Fourth Proportional to 65.37, 97.93 and 38.23

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Solution

The fourth proportional to 65.37, 97.93 and 38.23 is: 57.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.37 : 97.93 = 38.23 : x
  2. Step 2: Convert to fraction form
    65.37/97.93 = 38.23/x
  3. Step 3: Cross multiply
    65.37x = 97.93 × 38.23
  4. Step 4: Simplify right side
    65.37x = 3,743.86
  5. Step 5: Solve for x
    x = 3,743.86/65.37
  6. Step 6: Final answer
    x = 57.27

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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.