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Finding the Fourth Proportional to 119.83, 165.21 and 116.05

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Solution

The fourth proportional to 119.83, 165.21 and 116.05 is: 160.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.83 : 165.21 = 116.05 : x
  2. Step 2: Convert to fraction form
    119.83/165.21 = 116.05/x
  3. Step 3: Cross multiply
    119.83x = 165.21 × 116.05
  4. Step 4: Simplify right side
    119.83x = 19,172.62
  5. Step 5: Solve for x
    x = 19,172.62/119.83
  6. Step 6: Final answer
    x = 160.00

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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.