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Finding the Fourth Proportional to 84.06, 126.10 and 58.38

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Solution

The fourth proportional to 84.06, 126.10 and 58.38 is: 87.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.06 : 126.10 = 58.38 : x
  2. Step 2: Convert to fraction form
    84.06/126.10 = 58.38/x
  3. Step 3: Cross multiply
    84.06x = 126.10 × 58.38
  4. Step 4: Simplify right side
    84.06x = 7,362.26
  5. Step 5: Solve for x
    x = 7,362.26/84.06
  6. Step 6: Final answer
    x = 87.59

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Why These Related Problems?

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