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Finding the Fourth Proportional to 203.83, 305.74 and 59.54

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Solution

The fourth proportional to 203.83, 305.74 and 59.54 is: 89.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.83 : 305.74 = 59.54 : x
  2. Step 2: Convert to fraction form
    203.83/305.74 = 59.54/x
  3. Step 3: Cross multiply
    203.83x = 305.74 × 59.54
  4. Step 4: Simplify right side
    203.83x = 18,204.38
  5. Step 5: Solve for x
    x = 18,204.38/203.83
  6. Step 6: Final answer
    x = 89.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.