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Finding the Fourth Proportional to 65.28, 90.12 and 64.92

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Solution

The fourth proportional to 65.28, 90.12 and 64.92 is: 89.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.28 : 90.12 = 64.92 : x
  2. Step 2: Convert to fraction form
    65.28/90.12 = 64.92/x
  3. Step 3: Cross multiply
    65.28x = 90.12 × 64.92
  4. Step 4: Simplify right side
    65.28x = 5,850.59
  5. Step 5: Solve for x
    x = 5,850.59/65.28
  6. Step 6: Final answer
    x = 89.62

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Why These Related Problems?

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