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Finding the Fourth Proportional to 55.96, 83.74 and 49.09

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Solution

The fourth proportional to 55.96, 83.74 and 49.09 is: 73.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.96 : 83.74 = 49.09 : x
  2. Step 2: Convert to fraction form
    55.96/83.74 = 49.09/x
  3. Step 3: Cross multiply
    55.96x = 83.74 × 49.09
  4. Step 4: Simplify right side
    55.96x = 4,110.38
  5. Step 5: Solve for x
    x = 4,110.38/55.96
  6. Step 6: Final answer
    x = 73.45

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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.