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Finding the Fourth Proportional to 50.78, 70.04 and 33.50

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Solution

The fourth proportional to 50.78, 70.04 and 33.50 is: 46.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.78 : 70.04 = 33.50 : x
  2. Step 2: Convert to fraction form
    50.78/70.04 = 33.50/x
  3. Step 3: Cross multiply
    50.78x = 70.04 × 33.50
  4. Step 4: Simplify right side
    50.78x = 2,346.34
  5. Step 5: Solve for x
    x = 2,346.34/50.78
  6. Step 6: Final answer
    x = 46.21

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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.