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Finding the Fourth Proportional to 78.28, 117.20 and 66

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Solution

The fourth proportional to 78.28, 117.20 and 66 is: 98.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.28 : 117.20 = 66 : x
  2. Step 2: Convert to fraction form
    78.28/117.20 = 66/x
  3. Step 3: Cross multiply
    78.28x = 117.20 × 66
  4. Step 4: Simplify right side
    78.28x = 7,735.20
  5. Step 5: Solve for x
    x = 7,735.20/78.28
  6. Step 6: Final answer
    x = 98.81

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Why These Related Problems?

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