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Finding the Fourth Proportional to 97.54, 133.87 and 89.32

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Solution

The fourth proportional to 97.54, 133.87 and 89.32 is: 122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.54 : 133.87 = 89.32 : x
  2. Step 2: Convert to fraction form
    97.54/133.87 = 89.32/x
  3. Step 3: Cross multiply
    97.54x = 133.87 × 89.32
  4. Step 4: Simplify right side
    97.54x = 11,957.27
  5. Step 5: Solve for x
    x = 11,957.27/97.54
  6. Step 6: Final answer
    x = 122.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.