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Finding the Fourth Proportional to 102.08, 152.94 and 69.86

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Solution

The fourth proportional to 102.08, 152.94 and 69.86 is: 104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.08 : 152.94 = 69.86 : x
  2. Step 2: Convert to fraction form
    102.08/152.94 = 69.86/x
  3. Step 3: Cross multiply
    102.08x = 152.94 × 69.86
  4. Step 4: Simplify right side
    102.08x = 10,684.77
  5. Step 5: Solve for x
    x = 10,684.77/102.08
  6. Step 6: Final answer
    x = 104.67

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