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Finding the Fourth Proportional to 81.64, 122.46 and 60.28

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Solution

The fourth proportional to 81.64, 122.46 and 60.28 is: 90.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.64 : 122.46 = 60.28 : x
  2. Step 2: Convert to fraction form
    81.64/122.46 = 60.28/x
  3. Step 3: Cross multiply
    81.64x = 122.46 × 60.28
  4. Step 4: Simplify right side
    81.64x = 7,381.89
  5. Step 5: Solve for x
    x = 7,381.89/81.64
  6. Step 6: Final answer
    x = 90.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.