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Finding the Fourth Proportional to 146.07, 218.70 and 109.89

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Solution

The fourth proportional to 146.07, 218.70 and 109.89 is: 164.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.07 : 218.70 = 109.89 : x
  2. Step 2: Convert to fraction form
    146.07/218.70 = 109.89/x
  3. Step 3: Cross multiply
    146.07x = 218.70 × 109.89
  4. Step 4: Simplify right side
    146.07x = 24,032.94
  5. Step 5: Solve for x
    x = 24,032.94/146.07
  6. Step 6: Final answer
    x = 164.53

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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.