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Finding the Fourth Proportional to 148.14, 222.10 and 79.62

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Solution

The fourth proportional to 148.14, 222.10 and 79.62 is: 119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.14 : 222.10 = 79.62 : x
  2. Step 2: Convert to fraction form
    148.14/222.10 = 79.62/x
  3. Step 3: Cross multiply
    148.14x = 222.10 × 79.62
  4. Step 4: Simplify right side
    148.14x = 17,683.60
  5. Step 5: Solve for x
    x = 17,683.60/148.14
  6. Step 6: Final answer
    x = 119.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.