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Finding the Fourth Proportional to 146.22, 218.94 and 102.81

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Solution

The fourth proportional to 146.22, 218.94 and 102.81 is: 153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.22 : 218.94 = 102.81 : x
  2. Step 2: Convert to fraction form
    146.22/218.94 = 102.81/x
  3. Step 3: Cross multiply
    146.22x = 218.94 × 102.81
  4. Step 4: Simplify right side
    146.22x = 22,509.22
  5. Step 5: Solve for x
    x = 22,509.22/146.22
  6. Step 6: Final answer
    x = 153.94

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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.