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Finding the Fourth Proportional to 149.02, 223.18 and 75.76

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Solution

The fourth proportional to 149.02, 223.18 and 75.76 is: 113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.02 : 223.18 = 75.76 : x
  2. Step 2: Convert to fraction form
    149.02/223.18 = 75.76/x
  3. Step 3: Cross multiply
    149.02x = 223.18 × 75.76
  4. Step 4: Simplify right side
    149.02x = 16,907.37
  5. Step 5: Solve for x
    x = 16,907.37/149.02
  6. Step 6: Final answer
    x = 113.46

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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.