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Finding the Fourth Proportional to 106.12, 159.17 and 37.64

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Solution

The fourth proportional to 106.12, 159.17 and 37.64 is: 56.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.12 : 159.17 = 37.64 : x
  2. Step 2: Convert to fraction form
    106.12/159.17 = 37.64/x
  3. Step 3: Cross multiply
    106.12x = 159.17 × 37.64
  4. Step 4: Simplify right side
    106.12x = 5,991.65
  5. Step 5: Solve for x
    x = 5,991.65/106.12
  6. Step 6: Final answer
    x = 56.46

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