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Finding the Fourth Proportional to 136.17, 203.76 and 97.56

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Solution

The fourth proportional to 136.17, 203.76 and 97.56 is: 145.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.17 : 203.76 = 97.56 : x
  2. Step 2: Convert to fraction form
    136.17/203.76 = 97.56/x
  3. Step 3: Cross multiply
    136.17x = 203.76 × 97.56
  4. Step 4: Simplify right side
    136.17x = 19,878.83
  5. Step 5: Solve for x
    x = 19,878.83/136.17
  6. Step 6: Final answer
    x = 145.99

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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.