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Finding the Fourth Proportional to 78.06, 117 and 37.46

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Solution

The fourth proportional to 78.06, 117 and 37.46 is: 56.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.06 : 117 = 37.46 : x
  2. Step 2: Convert to fraction form
    78.06/117 = 37.46/x
  3. Step 3: Cross multiply
    78.06x = 117 × 37.46
  4. Step 4: Simplify right side
    78.06x = 4,382.82
  5. Step 5: Solve for x
    x = 4,382.82/78.06
  6. Step 6: Final answer
    x = 56.15

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