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Finding the Fourth Proportional to 55.85, 83.65 and 45.09

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Solution

The fourth proportional to 55.85, 83.65 and 45.09 is: 67.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.85 : 83.65 = 45.09 : x
  2. Step 2: Convert to fraction form
    55.85/83.65 = 45.09/x
  3. Step 3: Cross multiply
    55.85x = 83.65 × 45.09
  4. Step 4: Simplify right side
    55.85x = 3,771.78
  5. Step 5: Solve for x
    x = 3,771.78/55.85
  6. Step 6: Final answer
    x = 67.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.