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Finding the Fourth Proportional to 100.51, 138.64 and 84

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Solution

The fourth proportional to 100.51, 138.64 and 84 is: 115.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.51 : 138.64 = 84 : x
  2. Step 2: Convert to fraction form
    100.51/138.64 = 84/x
  3. Step 3: Cross multiply
    100.51x = 138.64 × 84
  4. Step 4: Simplify right side
    100.51x = 11,645.76
  5. Step 5: Solve for x
    x = 11,645.76/100.51
  6. Step 6: Final answer
    x = 115.87

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