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Finding the Fourth Proportional to 90.07, 134.42 and 82.36

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Solution

The fourth proportional to 90.07, 134.42 and 82.36 is: 122.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.07 : 134.42 = 82.36 : x
  2. Step 2: Convert to fraction form
    90.07/134.42 = 82.36/x
  3. Step 3: Cross multiply
    90.07x = 134.42 × 82.36
  4. Step 4: Simplify right side
    90.07x = 11,070.83
  5. Step 5: Solve for x
    x = 11,070.83/90.07
  6. Step 6: Final answer
    x = 122.91

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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.