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Finding the Fourth Proportional to 84.07, 126.14 and 58.44

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Solution

The fourth proportional to 84.07, 126.14 and 58.44 is: 87.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.07 : 126.14 = 58.44 : x
  2. Step 2: Convert to fraction form
    84.07/126.14 = 58.44/x
  3. Step 3: Cross multiply
    84.07x = 126.14 × 58.44
  4. Step 4: Simplify right side
    84.07x = 7,371.62
  5. Step 5: Solve for x
    x = 7,371.62/84.07
  6. Step 6: Final answer
    x = 87.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.