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Finding the Fourth Proportional to 160, 239.71 and 77.59

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Solution

The fourth proportional to 160, 239.71 and 77.59 is: 116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    160 : 239.71 = 77.59 : x
  2. Step 2: Convert to fraction form
    160/239.71 = 77.59/x
  3. Step 3: Cross multiply
    160x = 239.71 × 77.59
  4. Step 4: Simplify right side
    160x = 18,599.10
  5. Step 5: Solve for x
    x = 18,599.10/160
  6. Step 6: Final answer
    x = 116.24

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