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Finding the Fourth Proportional to 97.48, 134.10 and 89.32

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Solution

The fourth proportional to 97.48, 134.10 and 89.32 is: 122.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.48 : 134.10 = 89.32 : x
  2. Step 2: Convert to fraction form
    97.48/134.10 = 89.32/x
  3. Step 3: Cross multiply
    97.48x = 134.10 × 89.32
  4. Step 4: Simplify right side
    97.48x = 11,977.81
  5. Step 5: Solve for x
    x = 11,977.81/97.48
  6. Step 6: Final answer
    x = 122.87

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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.