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Finding the Fourth Proportional to 50.83, 70.09 and 45.70

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Solution

The fourth proportional to 50.83, 70.09 and 45.70 is: 63.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.83 : 70.09 = 45.70 : x
  2. Step 2: Convert to fraction form
    50.83/70.09 = 45.70/x
  3. Step 3: Cross multiply
    50.83x = 70.09 × 45.70
  4. Step 4: Simplify right side
    50.83x = 3,202.82
  5. Step 5: Solve for x
    x = 3,202.82/50.83
  6. Step 6: Final answer
    x = 63.01

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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.