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Finding the Fourth Proportional to 119.26, 178.07 and 97.57

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Solution

The fourth proportional to 119.26, 178.07 and 97.57 is: 145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.26 : 178.07 = 97.57 : x
  2. Step 2: Convert to fraction form
    119.26/178.07 = 97.57/x
  3. Step 3: Cross multiply
    119.26x = 178.07 × 97.57
  4. Step 4: Simplify right side
    119.26x = 17,374.29
  5. Step 5: Solve for x
    x = 17,374.29/119.26
  6. Step 6: Final answer
    x = 145.68

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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.