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Finding the Fourth Proportional to 36.06, 53.63 and 35.70

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Solution

The fourth proportional to 36.06, 53.63 and 35.70 is: 53.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.06 : 53.63 = 35.70 : x
  2. Step 2: Convert to fraction form
    36.06/53.63 = 35.70/x
  3. Step 3: Cross multiply
    36.06x = 53.63 × 35.70
  4. Step 4: Simplify right side
    36.06x = 1,914.59
  5. Step 5: Solve for x
    x = 1,914.59/36.06
  6. Step 6: Final answer
    x = 53.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.