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Finding the Fourth Proportional to 104.82, 157.07 and 77.64

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Solution

The fourth proportional to 104.82, 157.07 and 77.64 is: 116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.82 : 157.07 = 77.64 : x
  2. Step 2: Convert to fraction form
    104.82/157.07 = 77.64/x
  3. Step 3: Cross multiply
    104.82x = 157.07 × 77.64
  4. Step 4: Simplify right side
    104.82x = 12,194.91
  5. Step 5: Solve for x
    x = 12,194.91/104.82
  6. Step 6: Final answer
    x = 116.34

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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.