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Finding the Fourth Proportional to 119.64, 165.06 and 76.05

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Solution

The fourth proportional to 119.64, 165.06 and 76.05 is: 104.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.64 : 165.06 = 76.05 : x
  2. Step 2: Convert to fraction form
    119.64/165.06 = 76.05/x
  3. Step 3: Cross multiply
    119.64x = 165.06 × 76.05
  4. Step 4: Simplify right side
    119.64x = 12,552.81
  5. Step 5: Solve for x
    x = 12,552.81/119.64
  6. Step 6: Final answer
    x = 104.92

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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.