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Finding the Fourth Proportional to 136, 204 and 97.52

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Solution

The fourth proportional to 136, 204 and 97.52 is: 146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136 : 204 = 97.52 : x
  2. Step 2: Convert to fraction form
    136/204 = 97.52/x
  3. Step 3: Cross multiply
    136x = 204 × 97.52
  4. Step 4: Simplify right side
    136x = 19,894.08
  5. Step 5: Solve for x
    x = 19,894.08/136
  6. Step 6: Final answer
    x = 146.28

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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.