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Finding the Fourth Proportional to 97.21, 133.86 and 89.86

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Solution

The fourth proportional to 97.21, 133.86 and 89.86 is: 123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.21 : 133.86 = 89.86 : x
  2. Step 2: Convert to fraction form
    97.21/133.86 = 89.86/x
  3. Step 3: Cross multiply
    97.21x = 133.86 × 89.86
  4. Step 4: Simplify right side
    97.21x = 12,028.66
  5. Step 5: Solve for x
    x = 12,028.66/97.21
  6. Step 6: Final answer
    x = 123.74

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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.