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Finding the Fourth Proportional to 203.89, 305.64 and 101.13

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Solution

The fourth proportional to 203.89, 305.64 and 101.13 is: 151.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.89 : 305.64 = 101.13 : x
  2. Step 2: Convert to fraction form
    203.89/305.64 = 101.13/x
  3. Step 3: Cross multiply
    203.89x = 305.64 × 101.13
  4. Step 4: Simplify right side
    203.89x = 30,909.37
  5. Step 5: Solve for x
    x = 30,909.37/203.89
  6. Step 6: Final answer
    x = 151.60

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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.