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Finding the Fourth Proportional to 50.90, 70.09 and 35.34

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Solution

The fourth proportional to 50.90, 70.09 and 35.34 is: 48.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.90 : 70.09 = 35.34 : x
  2. Step 2: Convert to fraction form
    50.90/70.09 = 35.34/x
  3. Step 3: Cross multiply
    50.90x = 70.09 × 35.34
  4. Step 4: Simplify right side
    50.90x = 2,476.98
  5. Step 5: Solve for x
    x = 2,476.98/50.90
  6. Step 6: Final answer
    x = 48.66

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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.