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Finding the Fourth Proportional to 148.05, 221.93 and 71.00

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Solution

The fourth proportional to 148.05, 221.93 and 71.00 is: 106.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.05 : 221.93 = 71.00 : x
  2. Step 2: Convert to fraction form
    148.05/221.93 = 71.00/x
  3. Step 3: Cross multiply
    148.05x = 221.93 × 71.00
  4. Step 4: Simplify right side
    148.05x = 15,755.57
  5. Step 5: Solve for x
    x = 15,755.57/148.05
  6. Step 6: Final answer
    x = 106.42

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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.