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Finding the Fourth Proportional to 109.53, 164.34 and 37.44

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Solution

The fourth proportional to 109.53, 164.34 and 37.44 is: 56.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.53 : 164.34 = 37.44 : x
  2. Step 2: Convert to fraction form
    109.53/164.34 = 37.44/x
  3. Step 3: Cross multiply
    109.53x = 164.34 × 37.44
  4. Step 4: Simplify right side
    109.53x = 6,152.89
  5. Step 5: Solve for x
    x = 6,152.89/109.53
  6. Step 6: Final answer
    x = 56.18

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