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Finding the Fourth Proportional to 55.10, 75.97 and 36.67

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Solution

The fourth proportional to 55.10, 75.97 and 36.67 is: 50.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.10 : 75.97 = 36.67 : x
  2. Step 2: Convert to fraction form
    55.10/75.97 = 36.67/x
  3. Step 3: Cross multiply
    55.10x = 75.97 × 36.67
  4. Step 4: Simplify right side
    55.10x = 2,785.82
  5. Step 5: Solve for x
    x = 2,785.82/55.10
  6. Step 6: Final answer
    x = 50.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.