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Finding the Fourth Proportional to 64.72, 97.12 and 41.84

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Solution

The fourth proportional to 64.72, 97.12 and 41.84 is: 62.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.72 : 97.12 = 41.84 : x
  2. Step 2: Convert to fraction form
    64.72/97.12 = 41.84/x
  3. Step 3: Cross multiply
    64.72x = 97.12 × 41.84
  4. Step 4: Simplify right side
    64.72x = 4,063.50
  5. Step 5: Solve for x
    x = 4,063.50/64.72
  6. Step 6: Final answer
    x = 62.79

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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.