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Finding the Fourth Proportional to 76.92, 106.25 and 64.50

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Solution

The fourth proportional to 76.92, 106.25 and 64.50 is: 89.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.92 : 106.25 = 64.50 : x
  2. Step 2: Convert to fraction form
    76.92/106.25 = 64.50/x
  3. Step 3: Cross multiply
    76.92x = 106.25 × 64.50
  4. Step 4: Simplify right side
    76.92x = 6,852.80
  5. Step 5: Solve for x
    x = 6,852.80/76.92
  6. Step 6: Final answer
    x = 89.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.