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Finding the Fourth Proportional to 65.39, 98.08 and 22.05

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Solution

The fourth proportional to 65.39, 98.08 and 22.05 is: 33.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.39 : 98.08 = 22.05 : x
  2. Step 2: Convert to fraction form
    65.39/98.08 = 22.05/x
  3. Step 3: Cross multiply
    65.39x = 98.08 × 22.05
  4. Step 4: Simplify right side
    65.39x = 2,162.75
  5. Step 5: Solve for x
    x = 2,162.75/65.39
  6. Step 6: Final answer
    x = 33.08

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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.