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Finding the Fourth Proportional to 148.13, 222.21 and 71.11

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Solution

The fourth proportional to 148.13, 222.21 and 71.11 is: 106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.13 : 222.21 = 71.11 : x
  2. Step 2: Convert to fraction form
    148.13/222.21 = 71.11/x
  3. Step 3: Cross multiply
    148.13x = 222.21 × 71.11
  4. Step 4: Simplify right side
    148.13x = 15,801.35
  5. Step 5: Solve for x
    x = 15,801.35/148.13
  6. Step 6: Final answer
    x = 106.67

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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.