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Finding the Fourth Proportional to 50.99, 70.36 and 33.50

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Solution

The fourth proportional to 50.99, 70.36 and 33.50 is: 46.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.99 : 70.36 = 33.50 : x
  2. Step 2: Convert to fraction form
    50.99/70.36 = 33.50/x
  3. Step 3: Cross multiply
    50.99x = 70.36 × 33.50
  4. Step 4: Simplify right side
    50.99x = 2,357.15
  5. Step 5: Solve for x
    x = 2,357.15/50.99
  6. Step 6: Final answer
    x = 46.23

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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.