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Finding the Fourth Proportional to 146.72, 219.86 and 81.64

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Solution

The fourth proportional to 146.72, 219.86 and 81.64 is: 122.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.72 : 219.86 = 81.64 : x
  2. Step 2: Convert to fraction form
    146.72/219.86 = 81.64/x
  3. Step 3: Cross multiply
    146.72x = 219.86 × 81.64
  4. Step 4: Simplify right side
    146.72x = 17,950.00
  5. Step 5: Solve for x
    x = 17,950.00/146.72
  6. Step 6: Final answer
    x = 122.34

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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.