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Finding the Fourth Proportional to 119.92, 165.40 and 70.76

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Solution

The fourth proportional to 119.92, 165.40 and 70.76 is: 97.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.92 : 165.40 = 70.76 : x
  2. Step 2: Convert to fraction form
    119.92/165.40 = 70.76/x
  3. Step 3: Cross multiply
    119.92x = 165.40 × 70.76
  4. Step 4: Simplify right side
    119.92x = 11,703.32
  5. Step 5: Solve for x
    x = 11,703.32/119.92
  6. Step 6: Final answer
    x = 97.60

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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.