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Finding the Fourth Proportional to 65.38, 97.89 and 53.86

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Solution

The fourth proportional to 65.38, 97.89 and 53.86 is: 80.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.38 : 97.89 = 53.86 : x
  2. Step 2: Convert to fraction form
    65.38/97.89 = 53.86/x
  3. Step 3: Cross multiply
    65.38x = 97.89 × 53.86
  4. Step 4: Simplify right side
    65.38x = 5,272.36
  5. Step 5: Solve for x
    x = 5,272.36/65.38
  6. Step 6: Final answer
    x = 80.64

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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.