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Finding the Fourth Proportional to 148.05, 222.16 and 83.10

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Solution

The fourth proportional to 148.05, 222.16 and 83.10 is: 124.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.05 : 222.16 = 83.10 : x
  2. Step 2: Convert to fraction form
    148.05/222.16 = 83.10/x
  3. Step 3: Cross multiply
    148.05x = 222.16 × 83.10
  4. Step 4: Simplify right side
    148.05x = 18,461.50
  5. Step 5: Solve for x
    x = 18,461.50/148.05
  6. Step 6: Final answer
    x = 124.70

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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.