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Finding the Fourth Proportional to 119.76, 165.15 and 104.10

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Solution

The fourth proportional to 119.76, 165.15 and 104.10 is: 143.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.76 : 165.15 = 104.10 : x
  2. Step 2: Convert to fraction form
    119.76/165.15 = 104.10/x
  3. Step 3: Cross multiply
    119.76x = 165.15 × 104.10
  4. Step 4: Simplify right side
    119.76x = 17,192.12
  5. Step 5: Solve for x
    x = 17,192.12/119.76
  6. Step 6: Final answer
    x = 143.55

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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.