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Finding the Fourth Proportional to 78.64, 117.94 and 27.28

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Solution

The fourth proportional to 78.64, 117.94 and 27.28 is: 40.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.64 : 117.94 = 27.28 : x
  2. Step 2: Convert to fraction form
    78.64/117.94 = 27.28/x
  3. Step 3: Cross multiply
    78.64x = 117.94 × 27.28
  4. Step 4: Simplify right side
    78.64x = 3,217.40
  5. Step 5: Solve for x
    x = 3,217.40/78.64
  6. Step 6: Final answer
    x = 40.91

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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.