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Finding the Fourth Proportional to 109.76, 164.57 and 77.63

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Solution

The fourth proportional to 109.76, 164.57 and 77.63 is: 116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.76 : 164.57 = 77.63 : x
  2. Step 2: Convert to fraction form
    109.76/164.57 = 77.63/x
  3. Step 3: Cross multiply
    109.76x = 164.57 × 77.63
  4. Step 4: Simplify right side
    109.76x = 12,774.36
  5. Step 5: Solve for x
    x = 12,774.36/109.76
  6. Step 6: Final answer
    x = 116.39

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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.