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Finding the Fourth Proportional to 146.02, 219.11 and 85.15

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Solution

The fourth proportional to 146.02, 219.11 and 85.15 is: 127.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.02 : 219.11 = 85.15 : x
  2. Step 2: Convert to fraction form
    146.02/219.11 = 85.15/x
  3. Step 3: Cross multiply
    146.02x = 219.11 × 85.15
  4. Step 4: Simplify right side
    146.02x = 18,657.22
  5. Step 5: Solve for x
    x = 18,657.22/146.02
  6. Step 6: Final answer
    x = 127.77

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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.