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Finding the Fourth Proportional to 119.47, 164.83 and 70.33

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Solution

The fourth proportional to 119.47, 164.83 and 70.33 is: 97.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.47 : 164.83 = 70.33 : x
  2. Step 2: Convert to fraction form
    119.47/164.83 = 70.33/x
  3. Step 3: Cross multiply
    119.47x = 164.83 × 70.33
  4. Step 4: Simplify right side
    119.47x = 11,592.49
  5. Step 5: Solve for x
    x = 11,592.49/119.47
  6. Step 6: Final answer
    x = 97.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.