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Finding the Fourth Proportional to 65.08, 90.22 and 61.48

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Solution

The fourth proportional to 65.08, 90.22 and 61.48 is: 85.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.08 : 90.22 = 61.48 : x
  2. Step 2: Convert to fraction form
    65.08/90.22 = 61.48/x
  3. Step 3: Cross multiply
    65.08x = 90.22 × 61.48
  4. Step 4: Simplify right side
    65.08x = 5,546.73
  5. Step 5: Solve for x
    x = 5,546.73/65.08
  6. Step 6: Final answer
    x = 85.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.