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Finding the Fourth Proportional to 50.96, 70.33 and 29.13

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Solution

The fourth proportional to 50.96, 70.33 and 29.13 is: 40.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.96 : 70.33 = 29.13 : x
  2. Step 2: Convert to fraction form
    50.96/70.33 = 29.13/x
  3. Step 3: Cross multiply
    50.96x = 70.33 × 29.13
  4. Step 4: Simplify right side
    50.96x = 2,048.71
  5. Step 5: Solve for x
    x = 2,048.71/50.96
  6. Step 6: Final answer
    x = 40.20

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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.