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Finding the Fourth Proportional to 113.76, 170.48 and 77.62

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Solution

The fourth proportional to 113.76, 170.48 and 77.62 is: 116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.76 : 170.48 = 77.62 : x
  2. Step 2: Convert to fraction form
    113.76/170.48 = 77.62/x
  3. Step 3: Cross multiply
    113.76x = 170.48 × 77.62
  4. Step 4: Simplify right side
    113.76x = 13,232.66
  5. Step 5: Solve for x
    x = 13,232.66/113.76
  6. Step 6: Final answer
    x = 116.32

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