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Finding the Fourth Proportional to 119.19, 178.75 and 58.26

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Solution

The fourth proportional to 119.19, 178.75 and 58.26 is: 87.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.19 : 178.75 = 58.26 : x
  2. Step 2: Convert to fraction form
    119.19/178.75 = 58.26/x
  3. Step 3: Cross multiply
    119.19x = 178.75 × 58.26
  4. Step 4: Simplify right side
    119.19x = 10,413.98
  5. Step 5: Solve for x
    x = 10,413.98/119.19
  6. Step 6: Final answer
    x = 87.37

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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.