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Finding the Fourth Proportional to 201.02, 301.42 and 103.52

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Solution

The fourth proportional to 201.02, 301.42 and 103.52 is: 155.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.02 : 301.42 = 103.52 : x
  2. Step 2: Convert to fraction form
    201.02/301.42 = 103.52/x
  3. Step 3: Cross multiply
    201.02x = 301.42 × 103.52
  4. Step 4: Simplify right side
    201.02x = 31,203.00
  5. Step 5: Solve for x
    x = 31,203.00/201.02
  6. Step 6: Final answer
    x = 155.22

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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.