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Finding the Fourth Proportional to 90.05, 135.12 and 70.73

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Solution

The fourth proportional to 90.05, 135.12 and 70.73 is: 106.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.05 : 135.12 = 70.73 : x
  2. Step 2: Convert to fraction form
    90.05/135.12 = 70.73/x
  3. Step 3: Cross multiply
    90.05x = 135.12 × 70.73
  4. Step 4: Simplify right side
    90.05x = 9,557.04
  5. Step 5: Solve for x
    x = 9,557.04/90.05
  6. Step 6: Final answer
    x = 106.13

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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.