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Finding the Fourth Proportional to 90.23, 134.71 and 81.73

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Solution

The fourth proportional to 90.23, 134.71 and 81.73 is: 122.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.23 : 134.71 = 81.73 : x
  2. Step 2: Convert to fraction form
    90.23/134.71 = 81.73/x
  3. Step 3: Cross multiply
    90.23x = 134.71 × 81.73
  4. Step 4: Simplify right side
    90.23x = 11,009.17
  5. Step 5: Solve for x
    x = 11,009.17/90.23
  6. Step 6: Final answer
    x = 122.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.