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Finding the Fourth Proportional to 50.90, 70.19 and 34.54

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Solution

The fourth proportional to 50.90, 70.19 and 34.54 is: 47.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.90 : 70.19 = 34.54 : x
  2. Step 2: Convert to fraction form
    50.90/70.19 = 34.54/x
  3. Step 3: Cross multiply
    50.90x = 70.19 × 34.54
  4. Step 4: Simplify right side
    50.90x = 2,423.84
  5. Step 5: Solve for x
    x = 2,423.84/50.90
  6. Step 6: Final answer
    x = 47.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.