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Finding the Fourth Proportional to 78.64, 117.85 and 32.92

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Solution

The fourth proportional to 78.64, 117.85 and 32.92 is: 49.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.64 : 117.85 = 32.92 : x
  2. Step 2: Convert to fraction form
    78.64/117.85 = 32.92/x
  3. Step 3: Cross multiply
    78.64x = 117.85 × 32.92
  4. Step 4: Simplify right side
    78.64x = 3,879.62
  5. Step 5: Solve for x
    x = 3,879.62/78.64
  6. Step 6: Final answer
    x = 49.33

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