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Finding the Fourth Proportional to 109.85, 164.88 and 101.75

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Solution

The fourth proportional to 109.85, 164.88 and 101.75 is: 152.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.85 : 164.88 = 101.75 : x
  2. Step 2: Convert to fraction form
    109.85/164.88 = 101.75/x
  3. Step 3: Cross multiply
    109.85x = 164.88 × 101.75
  4. Step 4: Simplify right side
    109.85x = 16,775.72
  5. Step 5: Solve for x
    x = 16,775.72/109.85
  6. Step 6: Final answer
    x = 152.72

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