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Finding the Fourth Proportional to 97.16, 134.24 and 96.44

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Solution

The fourth proportional to 97.16, 134.24 and 96.44 is: 133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.16 : 134.24 = 96.44 : x
  2. Step 2: Convert to fraction form
    97.16/134.24 = 96.44/x
  3. Step 3: Cross multiply
    97.16x = 134.24 × 96.44
  4. Step 4: Simplify right side
    97.16x = 12,946.11
  5. Step 5: Solve for x
    x = 12,946.11/97.16
  6. Step 6: Final answer
    x = 133.25

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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.