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Finding the Fourth Proportional to 133.98, 201.04 and 105.01

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Solution

The fourth proportional to 133.98, 201.04 and 105.01 is: 157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.98 : 201.04 = 105.01 : x
  2. Step 2: Convert to fraction form
    133.98/201.04 = 105.01/x
  3. Step 3: Cross multiply
    133.98x = 201.04 × 105.01
  4. Step 4: Simplify right side
    133.98x = 21,110.21
  5. Step 5: Solve for x
    x = 21,110.21/133.98
  6. Step 6: Final answer
    x = 157.57

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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.