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Finding the Fourth Proportional to 97.85, 134.64 and 97.28

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Solution

The fourth proportional to 97.85, 134.64 and 97.28 is: 133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.85 : 134.64 = 97.28 : x
  2. Step 2: Convert to fraction form
    97.85/134.64 = 97.28/x
  3. Step 3: Cross multiply
    97.85x = 134.64 × 97.28
  4. Step 4: Simplify right side
    97.85x = 13,097.78
  5. Step 5: Solve for x
    x = 13,097.78/97.85
  6. Step 6: Final answer
    x = 133.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.