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Finding the Fourth Proportional to 146.91, 220.29 and 110.01

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Solution

The fourth proportional to 146.91, 220.29 and 110.01 is: 164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.91 : 220.29 = 110.01 : x
  2. Step 2: Convert to fraction form
    146.91/220.29 = 110.01/x
  3. Step 3: Cross multiply
    146.91x = 220.29 × 110.01
  4. Step 4: Simplify right side
    146.91x = 24,234.10
  5. Step 5: Solve for x
    x = 24,234.10/146.91
  6. Step 6: Final answer
    x = 164.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.