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Finding the Fourth Proportional to 70.36, 105.57 and 27.05

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Solution

The fourth proportional to 70.36, 105.57 and 27.05 is: 40.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.36 : 105.57 = 27.05 : x
  2. Step 2: Convert to fraction form
    70.36/105.57 = 27.05/x
  3. Step 3: Cross multiply
    70.36x = 105.57 × 27.05
  4. Step 4: Simplify right side
    70.36x = 2,855.14
  5. Step 5: Solve for x
    x = 2,855.14/70.36
  6. Step 6: Final answer
    x = 40.58

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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.