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Finding the Fourth Proportional to 78.59, 117.80 and 37.96

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Solution

The fourth proportional to 78.59, 117.80 and 37.96 is: 56.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.59 : 117.80 = 37.96 : x
  2. Step 2: Convert to fraction form
    78.59/117.80 = 37.96/x
  3. Step 3: Cross multiply
    78.59x = 117.80 × 37.96
  4. Step 4: Simplify right side
    78.59x = 4,471.69
  5. Step 5: Solve for x
    x = 4,471.69/78.59
  6. Step 6: Final answer
    x = 56.90

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