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Finding the Fourth Proportional to 97.82, 135.03 and 59

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Solution

The fourth proportional to 97.82, 135.03 and 59 is: 81.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.82 : 135.03 = 59 : x
  2. Step 2: Convert to fraction form
    97.82/135.03 = 59/x
  3. Step 3: Cross multiply
    97.82x = 135.03 × 59
  4. Step 4: Simplify right side
    97.82x = 7,966.77
  5. Step 5: Solve for x
    x = 7,966.77/97.82
  6. Step 6: Final answer
    x = 81.44

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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.