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Finding the Fourth Proportional to 146.07, 218.34 and 111.63

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Solution

The fourth proportional to 146.07, 218.34 and 111.63 is: 166.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.07 : 218.34 = 111.63 : x
  2. Step 2: Convert to fraction form
    146.07/218.34 = 111.63/x
  3. Step 3: Cross multiply
    146.07x = 218.34 × 111.63
  4. Step 4: Simplify right side
    146.07x = 24,373.29
  5. Step 5: Solve for x
    x = 24,373.29/146.07
  6. Step 6: Final answer
    x = 166.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.