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Finding the Fourth Proportional to 105.88, 159.13 and 98.59

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Solution

The fourth proportional to 105.88, 159.13 and 98.59 is: 148.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.88 : 159.13 = 98.59 : x
  2. Step 2: Convert to fraction form
    105.88/159.13 = 98.59/x
  3. Step 3: Cross multiply
    105.88x = 159.13 × 98.59
  4. Step 4: Simplify right side
    105.88x = 15,688.63
  5. Step 5: Solve for x
    x = 15,688.63/105.88
  6. Step 6: Final answer
    x = 148.17

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