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Finding the Fourth Proportional to 119.65, 165.11 and 70.52

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Solution

The fourth proportional to 119.65, 165.11 and 70.52 is: 97.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.65 : 165.11 = 70.52 : x
  2. Step 2: Convert to fraction form
    119.65/165.11 = 70.52/x
  3. Step 3: Cross multiply
    119.65x = 165.11 × 70.52
  4. Step 4: Simplify right side
    119.65x = 11,643.56
  5. Step 5: Solve for x
    x = 11,643.56/119.65
  6. Step 6: Final answer
    x = 97.31

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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.