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Finding the Fourth Proportional to 97.32, 134.19 and 83.46

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Solution

The fourth proportional to 97.32, 134.19 and 83.46 is: 115.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.32 : 134.19 = 83.46 : x
  2. Step 2: Convert to fraction form
    97.32/134.19 = 83.46/x
  3. Step 3: Cross multiply
    97.32x = 134.19 × 83.46
  4. Step 4: Simplify right side
    97.32x = 11,199.50
  5. Step 5: Solve for x
    x = 11,199.50/97.32
  6. Step 6: Final answer
    x = 115.08

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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.