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Finding the Fourth Proportional to 164.21, 226.64 and 98.72

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Solution

The fourth proportional to 164.21, 226.64 and 98.72 is: 136.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.21 : 226.64 = 98.72 : x
  2. Step 2: Convert to fraction form
    164.21/226.64 = 98.72/x
  3. Step 3: Cross multiply
    164.21x = 226.64 × 98.72
  4. Step 4: Simplify right side
    164.21x = 22,373.17
  5. Step 5: Solve for x
    x = 22,373.17/164.21
  6. Step 6: Final answer
    x = 136.24

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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.