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Finding the Fourth Proportional to 106.47, 159.83 and 87.43

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Solution

The fourth proportional to 106.47, 159.83 and 87.43 is: 131.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.47 : 159.83 = 87.43 : x
  2. Step 2: Convert to fraction form
    106.47/159.83 = 87.43/x
  3. Step 3: Cross multiply
    106.47x = 159.83 × 87.43
  4. Step 4: Simplify right side
    106.47x = 13,973.94
  5. Step 5: Solve for x
    x = 13,973.94/106.47
  6. Step 6: Final answer
    x = 131.25

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