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Finding the Fourth Proportional to 64.92, 97.40 and 44.78

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Solution

The fourth proportional to 64.92, 97.40 and 44.78 is: 67.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.92 : 97.40 = 44.78 : x
  2. Step 2: Convert to fraction form
    64.92/97.40 = 44.78/x
  3. Step 3: Cross multiply
    64.92x = 97.40 × 44.78
  4. Step 4: Simplify right side
    64.92x = 4,360.86
  5. Step 5: Solve for x
    x = 4,360.86/64.92
  6. Step 6: Final answer
    x = 67.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.