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Finding the Fourth Proportional to 135.74, 203.36 and 97.16

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Solution

The fourth proportional to 135.74, 203.36 and 97.16 is: 145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.74 : 203.36 = 97.16 : x
  2. Step 2: Convert to fraction form
    135.74/203.36 = 97.16/x
  3. Step 3: Cross multiply
    135.74x = 203.36 × 97.16
  4. Step 4: Simplify right side
    135.74x = 19,758.46
  5. Step 5: Solve for x
    x = 19,758.46/135.74
  6. Step 6: Final answer
    x = 145.56

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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.