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Finding the Fourth Proportional to 81.98, 113.09 and 55.77

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Solution

The fourth proportional to 81.98, 113.09 and 55.77 is: 76.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.98 : 113.09 = 55.77 : x
  2. Step 2: Convert to fraction form
    81.98/113.09 = 55.77/x
  3. Step 3: Cross multiply
    81.98x = 113.09 × 55.77
  4. Step 4: Simplify right side
    81.98x = 6,307.17
  5. Step 5: Solve for x
    x = 6,307.17/81.98
  6. Step 6: Final answer
    x = 76.94

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Why These Related Problems?

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