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Finding the Fourth Proportional to 97.45, 134.26 and 84.31

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Solution

The fourth proportional to 97.45, 134.26 and 84.31 is: 116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.45 : 134.26 = 84.31 : x
  2. Step 2: Convert to fraction form
    97.45/134.26 = 84.31/x
  3. Step 3: Cross multiply
    97.45x = 134.26 × 84.31
  4. Step 4: Simplify right side
    97.45x = 11,319.46
  5. Step 5: Solve for x
    x = 11,319.46/97.45
  6. Step 6: Final answer
    x = 116.16

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