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Finding the Fourth Proportional to 119.77, 180.00 and 58.94

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Solution

The fourth proportional to 119.77, 180.00 and 58.94 is: 88.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.77 : 180.00 = 58.94 : x
  2. Step 2: Convert to fraction form
    119.77/180.00 = 58.94/x
  3. Step 3: Cross multiply
    119.77x = 180.00 × 58.94
  4. Step 4: Simplify right side
    119.77x = 10,609.96
  5. Step 5: Solve for x
    x = 10,609.96/119.77
  6. Step 6: Final answer
    x = 88.59

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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.