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Finding the Fourth Proportional to 55.85, 83.23 and 54.77

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Solution

The fourth proportional to 55.85, 83.23 and 54.77 is: 81.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.85 : 83.23 = 54.77 : x
  2. Step 2: Convert to fraction form
    55.85/83.23 = 54.77/x
  3. Step 3: Cross multiply
    55.85x = 83.23 × 54.77
  4. Step 4: Simplify right side
    55.85x = 4,558.51
  5. Step 5: Solve for x
    x = 4,558.51/55.85
  6. Step 6: Final answer
    x = 81.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.