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Finding the Fourth Proportional to 164.12, 226.40 and 98.51

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Solution

The fourth proportional to 164.12, 226.40 and 98.51 is: 135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.12 : 226.40 = 98.51 : x
  2. Step 2: Convert to fraction form
    164.12/226.40 = 98.51/x
  3. Step 3: Cross multiply
    164.12x = 226.40 × 98.51
  4. Step 4: Simplify right side
    164.12x = 22,301.04
  5. Step 5: Solve for x
    x = 22,301.04/164.12
  6. Step 6: Final answer
    x = 135.89

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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.