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Finding the Fourth Proportional to 103.24, 155.59 and 82

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Solution

The fourth proportional to 103.24, 155.59 and 82 is: 123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.24 : 155.59 = 82 : x
  2. Step 2: Convert to fraction form
    103.24/155.59 = 82/x
  3. Step 3: Cross multiply
    103.24x = 155.59 × 82
  4. Step 4: Simplify right side
    103.24x = 12,758.38
  5. Step 5: Solve for x
    x = 12,758.38/103.24
  6. Step 6: Final answer
    x = 123.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.