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Finding the Fourth Proportional to 106.83, 159.84 and 61.02

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Solution

The fourth proportional to 106.83, 159.84 and 61.02 is: 91.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.83 : 159.84 = 61.02 : x
  2. Step 2: Convert to fraction form
    106.83/159.84 = 61.02/x
  3. Step 3: Cross multiply
    106.83x = 159.84 × 61.02
  4. Step 4: Simplify right side
    106.83x = 9,753.44
  5. Step 5: Solve for x
    x = 9,753.44/106.83
  6. Step 6: Final answer
    x = 91.30

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