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Finding the Fourth Proportional to 97.57, 134.67 and 58.22

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Solution

The fourth proportional to 97.57, 134.67 and 58.22 is: 80.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.57 : 134.67 = 58.22 : x
  2. Step 2: Convert to fraction form
    97.57/134.67 = 58.22/x
  3. Step 3: Cross multiply
    97.57x = 134.67 × 58.22
  4. Step 4: Simplify right side
    97.57x = 7,840.21
  5. Step 5: Solve for x
    x = 7,840.21/97.57
  6. Step 6: Final answer
    x = 80.35

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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.