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Finding the Fourth Proportional to 97.82, 134.96 and 59.00

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Solution

The fourth proportional to 97.82, 134.96 and 59.00 is: 81.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.82 : 134.96 = 59.00 : x
  2. Step 2: Convert to fraction form
    97.82/134.96 = 59.00/x
  3. Step 3: Cross multiply
    97.82x = 134.96 × 59.00
  4. Step 4: Simplify right side
    97.82x = 7,962.68
  5. Step 5: Solve for x
    x = 7,962.68/97.82
  6. Step 6: Final answer
    x = 81.41

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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.