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Finding the Fourth Proportional to 134.09, 200.76 and 97.57

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Solution

The fourth proportional to 134.09, 200.76 and 97.57 is: 146.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.09 : 200.76 = 97.57 : x
  2. Step 2: Convert to fraction form
    134.09/200.76 = 97.57/x
  3. Step 3: Cross multiply
    134.09x = 200.76 × 97.57
  4. Step 4: Simplify right side
    134.09x = 19,588.15
  5. Step 5: Solve for x
    x = 19,588.15/134.09
  6. Step 6: Final answer
    x = 146.08

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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.