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Finding the Fourth Proportional to 142.00, 195.74 and 98.26

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Solution

The fourth proportional to 142.00, 195.74 and 98.26 is: 135.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.00 : 195.74 = 98.26 : x
  2. Step 2: Convert to fraction form
    142.00/195.74 = 98.26/x
  3. Step 3: Cross multiply
    142.00x = 195.74 × 98.26
  4. Step 4: Simplify right side
    142.00x = 19,232.43
  5. Step 5: Solve for x
    x = 19,232.43/142.00
  6. Step 6: Final answer
    x = 135.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.