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Finding the Fourth Proportional to 90.57, 135.82 and 29.68

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Solution

The fourth proportional to 90.57, 135.82 and 29.68 is: 44.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.57 : 135.82 = 29.68 : x
  2. Step 2: Convert to fraction form
    90.57/135.82 = 29.68/x
  3. Step 3: Cross multiply
    90.57x = 135.82 × 29.68
  4. Step 4: Simplify right side
    90.57x = 4,031.14
  5. Step 5: Solve for x
    x = 4,031.14/90.57
  6. Step 6: Final answer
    x = 44.51

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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.