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Finding the Fourth Proportional to 146.84, 202.61 and 84.67

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Solution

The fourth proportional to 146.84, 202.61 and 84.67 is: 116.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.84 : 202.61 = 84.67 : x
  2. Step 2: Convert to fraction form
    146.84/202.61 = 84.67/x
  3. Step 3: Cross multiply
    146.84x = 202.61 × 84.67
  4. Step 4: Simplify right side
    146.84x = 17,154.99
  5. Step 5: Solve for x
    x = 17,154.99/146.84
  6. Step 6: Final answer
    x = 116.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.