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Finding the Fourth Proportional to 50.90, 70.25 and 31.49

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Solution

The fourth proportional to 50.90, 70.25 and 31.49 is: 43.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.90 : 70.25 = 31.49 : x
  2. Step 2: Convert to fraction form
    50.90/70.25 = 31.49/x
  3. Step 3: Cross multiply
    50.90x = 70.25 × 31.49
  4. Step 4: Simplify right side
    50.90x = 2,212.17
  5. Step 5: Solve for x
    x = 2,212.17/50.90
  6. Step 6: Final answer
    x = 43.46

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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.