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Finding the Fourth Proportional to 90.39, 135.71 and 49.84

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Solution

The fourth proportional to 90.39, 135.71 and 49.84 is: 74.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.39 : 135.71 = 49.84 : x
  2. Step 2: Convert to fraction form
    90.39/135.71 = 49.84/x
  3. Step 3: Cross multiply
    90.39x = 135.71 × 49.84
  4. Step 4: Simplify right side
    90.39x = 6,763.20
  5. Step 5: Solve for x
    x = 6,763.20/90.39
  6. Step 6: Final answer
    x = 74.83

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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.