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Finding the Fourth Proportional to 109.72, 164.58 and 77.56

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Solution

The fourth proportional to 109.72, 164.58 and 77.56 is: 116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.72 : 164.58 = 77.56 : x
  2. Step 2: Convert to fraction form
    109.72/164.58 = 77.56/x
  3. Step 3: Cross multiply
    109.72x = 164.58 × 77.56
  4. Step 4: Simplify right side
    109.72x = 12,764.82
  5. Step 5: Solve for x
    x = 12,764.82/109.72
  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.