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Finding the Fourth Proportional to 146.32, 219.47 and 50.13

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Solution

The fourth proportional to 146.32, 219.47 and 50.13 is: 75.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.32 : 219.47 = 50.13 : x
  2. Step 2: Convert to fraction form
    146.32/219.47 = 50.13/x
  3. Step 3: Cross multiply
    146.32x = 219.47 × 50.13
  4. Step 4: Simplify right side
    146.32x = 11,002.03
  5. Step 5: Solve for x
    x = 11,002.03/146.32
  6. Step 6: Final answer
    x = 75.19

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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.