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Finding the Fourth Proportional to 90.14, 135.30 and 49.59

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Solution

The fourth proportional to 90.14, 135.30 and 49.59 is: 74.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.14 : 135.30 = 49.59 : x
  2. Step 2: Convert to fraction form
    90.14/135.30 = 49.59/x
  3. Step 3: Cross multiply
    90.14x = 135.30 × 49.59
  4. Step 4: Simplify right side
    90.14x = 6,709.53
  5. Step 5: Solve for x
    x = 6,709.53/90.14
  6. Step 6: Final answer
    x = 74.44

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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.