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Finding the Fourth Proportional to 164.04, 246.10 and 86.96

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Solution

The fourth proportional to 164.04, 246.10 and 86.96 is: 130.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.04 : 246.10 = 86.96 : x
  2. Step 2: Convert to fraction form
    164.04/246.10 = 86.96/x
  3. Step 3: Cross multiply
    164.04x = 246.10 × 86.96
  4. Step 4: Simplify right side
    164.04x = 21,401.25
  5. Step 5: Solve for x
    x = 21,401.25/164.04
  6. Step 6: Final answer
    x = 130.46

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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.