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Finding the Fourth Proportional to 148.12, 221.99 and 75.00

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Solution

The fourth proportional to 148.12, 221.99 and 75.00 is: 112.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.12 : 221.99 = 75.00 : x
  2. Step 2: Convert to fraction form
    148.12/221.99 = 75.00/x
  3. Step 3: Cross multiply
    148.12x = 221.99 × 75.00
  4. Step 4: Simplify right side
    148.12x = 16,647.77
  5. Step 5: Solve for x
    x = 16,647.77/148.12
  6. Step 6: Final answer
    x = 112.39

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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.