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Finding the Fourth Proportional to 141.53, 212.30 and 50.24

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Solution

The fourth proportional to 141.53, 212.30 and 50.24 is: 75.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.53 : 212.30 = 50.24 : x
  2. Step 2: Convert to fraction form
    141.53/212.30 = 50.24/x
  3. Step 3: Cross multiply
    141.53x = 212.30 × 50.24
  4. Step 4: Simplify right side
    141.53x = 10,664.89
  5. Step 5: Solve for x
    x = 10,664.89/141.53
  6. Step 6: Final answer
    x = 75.35

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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.