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Finding the Fourth Proportional to 164.80, 247.16 and 55.11

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Solution

The fourth proportional to 164.80, 247.16 and 55.11 is: 82.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.80 : 247.16 = 55.11 : x
  2. Step 2: Convert to fraction form
    164.80/247.16 = 55.11/x
  3. Step 3: Cross multiply
    164.80x = 247.16 × 55.11
  4. Step 4: Simplify right side
    164.80x = 13,621.13
  5. Step 5: Solve for x
    x = 13,621.13/164.80
  6. Step 6: Final answer
    x = 82.65

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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.