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Finding the Fourth Proportional to 119.82, 165.35 and 70.03

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Solution

The fourth proportional to 119.82, 165.35 and 70.03 is: 96.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.82 : 165.35 = 70.03 : x
  2. Step 2: Convert to fraction form
    119.82/165.35 = 70.03/x
  3. Step 3: Cross multiply
    119.82x = 165.35 × 70.03
  4. Step 4: Simplify right side
    119.82x = 11,579.46
  5. Step 5: Solve for x
    x = 11,579.46/119.82
  6. Step 6: Final answer
    x = 96.64

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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.