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Finding the Fourth Proportional to 164.32, 226.85 and 106.13

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Solution

The fourth proportional to 164.32, 226.85 and 106.13 is: 146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.32 : 226.85 = 106.13 : x
  2. Step 2: Convert to fraction form
    164.32/226.85 = 106.13/x
  3. Step 3: Cross multiply
    164.32x = 226.85 × 106.13
  4. Step 4: Simplify right side
    164.32x = 24,075.63
  5. Step 5: Solve for x
    x = 24,075.63/164.32
  6. Step 6: Final answer
    x = 146.52

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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.