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Finding the Fourth Proportional to 81.88, 113 and 59.77

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Solution

The fourth proportional to 81.88, 113 and 59.77 is: 82.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.88 : 113 = 59.77 : x
  2. Step 2: Convert to fraction form
    81.88/113 = 59.77/x
  3. Step 3: Cross multiply
    81.88x = 113 × 59.77
  4. Step 4: Simplify right side
    81.88x = 6,754.01
  5. Step 5: Solve for x
    x = 6,754.01/81.88
  6. Step 6: Final answer
    x = 82.49

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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.