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Finding the Fourth Proportional to 135.71, 203.47 and 97.17

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Solution

The fourth proportional to 135.71, 203.47 and 97.17 is: 145.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.71 : 203.47 = 97.17 : x
  2. Step 2: Convert to fraction form
    135.71/203.47 = 97.17/x
  3. Step 3: Cross multiply
    135.71x = 203.47 × 97.17
  4. Step 4: Simplify right side
    135.71x = 19,771.18
  5. Step 5: Solve for x
    x = 19,771.18/135.71
  6. Step 6: Final answer
    x = 145.69

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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.