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Finding the Fourth Proportional to 135.54, 201.42 and 131.22

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Solution

The fourth proportional to 135.54, 201.42 and 131.22 is: 195.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.54 : 201.42 = 131.22 : x
  2. Step 2: Convert to fraction form
    135.54/201.42 = 131.22/x
  3. Step 3: Cross multiply
    135.54x = 201.42 × 131.22
  4. Step 4: Simplify right side
    135.54x = 26,430.33
  5. Step 5: Solve for x
    x = 26,430.33/135.54
  6. Step 6: Final answer
    x = 195.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.