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Finding the Fourth Proportional to 119.10, 164.16 and 77.62

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Solution

The fourth proportional to 119.10, 164.16 and 77.62 is: 106.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.10 : 164.16 = 77.62 : x
  2. Step 2: Convert to fraction form
    119.10/164.16 = 77.62/x
  3. Step 3: Cross multiply
    119.10x = 164.16 × 77.62
  4. Step 4: Simplify right side
    119.10x = 12,742.10
  5. Step 5: Solve for x
    x = 12,742.10/119.10
  6. Step 6: Final answer
    x = 106.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.