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Finding the Fourth Proportional to 90.86, 136.37 and 45.23

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Solution

The fourth proportional to 90.86, 136.37 and 45.23 is: 67.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.86 : 136.37 = 45.23 : x
  2. Step 2: Convert to fraction form
    90.86/136.37 = 45.23/x
  3. Step 3: Cross multiply
    90.86x = 136.37 × 45.23
  4. Step 4: Simplify right side
    90.86x = 6,167.11
  5. Step 5: Solve for x
    x = 6,167.11/90.86
  6. Step 6: Final answer
    x = 67.88

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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.