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Finding the Fourth Proportional to 36.66, 55.06 and 35.38

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Solution

The fourth proportional to 36.66, 55.06 and 35.38 is: 53.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.66 : 55.06 = 35.38 : x
  2. Step 2: Convert to fraction form
    36.66/55.06 = 35.38/x
  3. Step 3: Cross multiply
    36.66x = 55.06 × 35.38
  4. Step 4: Simplify right side
    36.66x = 1,948.02
  5. Step 5: Solve for x
    x = 1,948.02/36.66
  6. Step 6: Final answer
    x = 53.14

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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.