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Finding the Fourth Proportional to 102, 152.92 and 63.42

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Solution

The fourth proportional to 102, 152.92 and 63.42 is: 95.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102 : 152.92 = 63.42 : x
  2. Step 2: Convert to fraction form
    102/152.92 = 63.42/x
  3. Step 3: Cross multiply
    102x = 152.92 × 63.42
  4. Step 4: Simplify right side
    102x = 9,698.19
  5. Step 5: Solve for x
    x = 9,698.19/102
  6. Step 6: Final answer
    x = 95.08

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