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Finding the Fourth Proportional to 65.92, 98.64 and 51.52

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Solution

The fourth proportional to 65.92, 98.64 and 51.52 is: 77.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.92 : 98.64 = 51.52 : x
  2. Step 2: Convert to fraction form
    65.92/98.64 = 51.52/x
  3. Step 3: Cross multiply
    65.92x = 98.64 × 51.52
  4. Step 4: Simplify right side
    65.92x = 5,081.93
  5. Step 5: Solve for x
    x = 5,081.93/65.92
  6. Step 6: Final answer
    x = 77.09

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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.