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Finding the Fourth Proportional to 146.88, 219.85 and 106.11

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Solution

The fourth proportional to 146.88, 219.85 and 106.11 is: 158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.88 : 219.85 = 106.11 : x
  2. Step 2: Convert to fraction form
    146.88/219.85 = 106.11/x
  3. Step 3: Cross multiply
    146.88x = 219.85 × 106.11
  4. Step 4: Simplify right side
    146.88x = 23,328.02
  5. Step 5: Solve for x
    x = 23,328.02/146.88
  6. Step 6: Final answer
    x = 158.82

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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.