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Finding the Fourth Proportional to 164.89, 247.51 and 68.77

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Solution

The fourth proportional to 164.89, 247.51 and 68.77 is: 103.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.89 : 247.51 = 68.77 : x
  2. Step 2: Convert to fraction form
    164.89/247.51 = 68.77/x
  3. Step 3: Cross multiply
    164.89x = 247.51 × 68.77
  4. Step 4: Simplify right side
    164.89x = 17,019.85
  5. Step 5: Solve for x
    x = 17,019.85/164.89
  6. Step 6: Final answer
    x = 103.22

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Why These Related Problems?

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