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Finding the Fourth Proportional to 164.99, 227.62 and 95.04

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Solution

The fourth proportional to 164.99, 227.62 and 95.04 is: 131.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.99 : 227.62 = 95.04 : x
  2. Step 2: Convert to fraction form
    164.99/227.62 = 95.04/x
  3. Step 3: Cross multiply
    164.99x = 227.62 × 95.04
  4. Step 4: Simplify right side
    164.99x = 21,633.00
  5. Step 5: Solve for x
    x = 21,633.00/164.99
  6. Step 6: Final answer
    x = 131.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.