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Finding the Fourth Proportional to 85.28, 117.44 and 65.84

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Solution

The fourth proportional to 85.28, 117.44 and 65.84 is: 90.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.28 : 117.44 = 65.84 : x
  2. Step 2: Convert to fraction form
    85.28/117.44 = 65.84/x
  3. Step 3: Cross multiply
    85.28x = 117.44 × 65.84
  4. Step 4: Simplify right side
    85.28x = 7,732.25
  5. Step 5: Solve for x
    x = 7,732.25/85.28
  6. Step 6: Final answer
    x = 90.67

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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.