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Finding the Fourth Proportional to 65.72, 90.68 and 38.09

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Solution

The fourth proportional to 65.72, 90.68 and 38.09 is: 52.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.72 : 90.68 = 38.09 : x
  2. Step 2: Convert to fraction form
    65.72/90.68 = 38.09/x
  3. Step 3: Cross multiply
    65.72x = 90.68 × 38.09
  4. Step 4: Simplify right side
    65.72x = 3,453.64
  5. Step 5: Solve for x
    x = 3,453.64/65.72
  6. Step 6: Final answer
    x = 52.55

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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.