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Finding the Fourth Proportional to 119.07, 164.30 and 69.93

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Solution

The fourth proportional to 119.07, 164.30 and 69.93 is: 96.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.07 : 164.30 = 69.93 : x
  2. Step 2: Convert to fraction form
    119.07/164.30 = 69.93/x
  3. Step 3: Cross multiply
    119.07x = 164.30 × 69.93
  4. Step 4: Simplify right side
    119.07x = 11,489.15
  5. Step 5: Solve for x
    x = 11,489.15/119.07
  6. Step 6: Final answer
    x = 96.49

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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.