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Finding the Fourth Proportional to 65.38, 97.99 and 26.85

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Solution

The fourth proportional to 65.38, 97.99 and 26.85 is: 40.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.38 : 97.99 = 26.85 : x
  2. Step 2: Convert to fraction form
    65.38/97.99 = 26.85/x
  3. Step 3: Cross multiply
    65.38x = 97.99 × 26.85
  4. Step 4: Simplify right side
    65.38x = 2,631.03
  5. Step 5: Solve for x
    x = 2,631.03/65.38
  6. Step 6: Final answer
    x = 40.24

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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.