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Finding the Fourth Proportional to 146.42, 219.64 and 50.24

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Solution

The fourth proportional to 146.42, 219.64 and 50.24 is: 75.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.42 : 219.64 = 50.24 : x
  2. Step 2: Convert to fraction form
    146.42/219.64 = 50.24/x
  3. Step 3: Cross multiply
    146.42x = 219.64 × 50.24
  4. Step 4: Simplify right side
    146.42x = 11,034.71
  5. Step 5: Solve for x
    x = 11,034.71/146.42
  6. Step 6: Final answer
    x = 75.36

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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.