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Finding the Fourth Proportional to 97.22, 134.23 and 64.49

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Solution

The fourth proportional to 97.22, 134.23 and 64.49 is: 89.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.22 : 134.23 = 64.49 : x
  2. Step 2: Convert to fraction form
    97.22/134.23 = 64.49/x
  3. Step 3: Cross multiply
    97.22x = 134.23 × 64.49
  4. Step 4: Simplify right side
    97.22x = 8,655.66
  5. Step 5: Solve for x
    x = 8,655.66/97.22
  6. Step 6: Final answer
    x = 89.03

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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.