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Finding the Fourth Proportional to 90.68, 135.98 and 32.90

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Solution

The fourth proportional to 90.68, 135.98 and 32.90 is: 49.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.68 : 135.98 = 32.90 : x
  2. Step 2: Convert to fraction form
    90.68/135.98 = 32.90/x
  3. Step 3: Cross multiply
    90.68x = 135.98 × 32.90
  4. Step 4: Simplify right side
    90.68x = 4,473.14
  5. Step 5: Solve for x
    x = 4,473.14/90.68
  6. Step 6: Final answer
    x = 49.33

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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.