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Finding the Fourth Proportional to 119.04, 165.12 and 116.32

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Solution

The fourth proportional to 119.04, 165.12 and 116.32 is: 161.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.04 : 165.12 = 116.32 : x
  2. Step 2: Convert to fraction form
    119.04/165.12 = 116.32/x
  3. Step 3: Cross multiply
    119.04x = 165.12 × 116.32
  4. Step 4: Simplify right side
    119.04x = 19,206.76
  5. Step 5: Solve for x
    x = 19,206.76/119.04
  6. Step 6: Final answer
    x = 161.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.