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Finding the Fourth Proportional to 153.67, 212.07 and 84.67

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Solution

The fourth proportional to 153.67, 212.07 and 84.67 is: 116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.67 : 212.07 = 84.67 : x
  2. Step 2: Convert to fraction form
    153.67/212.07 = 84.67/x
  3. Step 3: Cross multiply
    153.67x = 212.07 × 84.67
  4. Step 4: Simplify right side
    153.67x = 17,956.15
  5. Step 5: Solve for x
    x = 17,956.15/153.67
  6. Step 6: Final answer
    x = 116.85

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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.