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Finding the Fourth Proportional to 119.72, 178.33 and 106.76

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Solution

The fourth proportional to 119.72, 178.33 and 106.76 is: 159.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.72 : 178.33 = 106.76 : x
  2. Step 2: Convert to fraction form
    119.72/178.33 = 106.76/x
  3. Step 3: Cross multiply
    119.72x = 178.33 × 106.76
  4. Step 4: Simplify right side
    119.72x = 19,038.51
  5. Step 5: Solve for x
    x = 19,038.51/119.72
  6. Step 6: Final answer
    x = 159.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.