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Finding the Fourth Proportional to 55.05, 76.00 and 35.65

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Solution

The fourth proportional to 55.05, 76.00 and 35.65 is: 49.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.05 : 76.00 = 35.65 : x
  2. Step 2: Convert to fraction form
    55.05/76.00 = 35.65/x
  3. Step 3: Cross multiply
    55.05x = 76.00 × 35.65
  4. Step 4: Simplify right side
    55.05x = 2,709.16
  5. Step 5: Solve for x
    x = 2,709.16/55.05
  6. Step 6: Final answer
    x = 49.21

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