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Finding the Fourth Proportional to 106.63, 159.86 and 52.45

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Solution

The fourth proportional to 106.63, 159.86 and 52.45 is: 78.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.63 : 159.86 = 52.45 : x
  2. Step 2: Convert to fraction form
    106.63/159.86 = 52.45/x
  3. Step 3: Cross multiply
    106.63x = 159.86 × 52.45
  4. Step 4: Simplify right side
    106.63x = 8,384.39
  5. Step 5: Solve for x
    x = 8,384.39/106.63
  6. Step 6: Final answer
    x = 78.63

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