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Finding the Fourth Proportional to 106.04, 159.13 and 37.60

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Solution

The fourth proportional to 106.04, 159.13 and 37.60 is: 56.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.04 : 159.13 = 37.60 : x
  2. Step 2: Convert to fraction form
    106.04/159.13 = 37.60/x
  3. Step 3: Cross multiply
    106.04x = 159.13 × 37.60
  4. Step 4: Simplify right side
    106.04x = 5,982.94
  5. Step 5: Solve for x
    x = 5,982.94/106.04
  6. Step 6: Final answer
    x = 56.42

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