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Finding the Fourth Proportional to 164.24, 226.70 and 106.01

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Solution

The fourth proportional to 164.24, 226.70 and 106.01 is: 146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.24 : 226.70 = 106.01 : x
  2. Step 2: Convert to fraction form
    164.24/226.70 = 106.01/x
  3. Step 3: Cross multiply
    164.24x = 226.70 × 106.01
  4. Step 4: Simplify right side
    164.24x = 24,030.80
  5. Step 5: Solve for x
    x = 24,030.80/164.24
  6. Step 6: Final answer
    x = 146.32

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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.