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Finding the Fourth Proportional to 164.86, 247.32 and 68.67

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Solution

The fourth proportional to 164.86, 247.32 and 68.67 is: 103.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.86 : 247.32 = 68.67 : x
  2. Step 2: Convert to fraction form
    164.86/247.32 = 68.67/x
  3. Step 3: Cross multiply
    164.86x = 247.32 × 68.67
  4. Step 4: Simplify right side
    164.86x = 16,984.25
  5. Step 5: Solve for x
    x = 16,984.25/164.86
  6. Step 6: Final answer
    x = 103.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.