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Finding the Fourth Proportional to 64.85, 97.27 and 22.10

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Solution

The fourth proportional to 64.85, 97.27 and 22.10 is: 33.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.85 : 97.27 = 22.10 : x
  2. Step 2: Convert to fraction form
    64.85/97.27 = 22.10/x
  3. Step 3: Cross multiply
    64.85x = 97.27 × 22.10
  4. Step 4: Simplify right side
    64.85x = 2,149.07
  5. Step 5: Solve for x
    x = 2,149.07/64.85
  6. Step 6: Final answer
    x = 33.14

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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.