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Finding the Fourth Proportional to 104.58, 157.15 and 77.44

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Solution

The fourth proportional to 104.58, 157.15 and 77.44 is: 116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.58 : 157.15 = 77.44 : x
  2. Step 2: Convert to fraction form
    104.58/157.15 = 77.44/x
  3. Step 3: Cross multiply
    104.58x = 157.15 × 77.44
  4. Step 4: Simplify right side
    104.58x = 12,169.70
  5. Step 5: Solve for x
    x = 12,169.70/104.58
  6. Step 6: Final answer
    x = 116.37

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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.