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Finding the Fourth Proportional to 90.86, 136.24 and 33.07

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Solution

The fourth proportional to 90.86, 136.24 and 33.07 is: 49.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.86 : 136.24 = 33.07 : x
  2. Step 2: Convert to fraction form
    90.86/136.24 = 33.07/x
  3. Step 3: Cross multiply
    90.86x = 136.24 × 33.07
  4. Step 4: Simplify right side
    90.86x = 4,505.00
  5. Step 5: Solve for x
    x = 4,505.00/90.86
  6. Step 6: Final answer
    x = 49.58

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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.