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Finding the Fourth Proportional to 81.46, 122.16 and 55.77

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Solution

The fourth proportional to 81.46, 122.16 and 55.77 is: 83.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.46 : 122.16 = 55.77 : x
  2. Step 2: Convert to fraction form
    81.46/122.16 = 55.77/x
  3. Step 3: Cross multiply
    81.46x = 122.16 × 55.77
  4. Step 4: Simplify right side
    81.46x = 6,813.17
  5. Step 5: Solve for x
    x = 6,813.17/81.46
  6. Step 6: Final answer
    x = 83.64

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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.