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Finding the Fourth Proportional to 146.15, 219.04 and 77.53

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Solution

The fourth proportional to 146.15, 219.04 and 77.53 is: 116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.15 : 219.04 = 77.53 : x
  2. Step 2: Convert to fraction form
    146.15/219.04 = 77.53/x
  3. Step 3: Cross multiply
    146.15x = 219.04 × 77.53
  4. Step 4: Simplify right side
    146.15x = 16,982.17
  5. Step 5: Solve for x
    x = 16,982.17/146.15
  6. Step 6: Final answer
    x = 116.20

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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.