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Finding the Fourth Proportional to 133.02, 182.70 and 118.44

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Solution

The fourth proportional to 133.02, 182.70 and 118.44 is: 162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.02 : 182.70 = 118.44 : x
  2. Step 2: Convert to fraction form
    133.02/182.70 = 118.44/x
  3. Step 3: Cross multiply
    133.02x = 182.70 × 118.44
  4. Step 4: Simplify right side
    133.02x = 21,638.99
  5. Step 5: Solve for x
    x = 21,638.99/133.02
  6. Step 6: Final answer
    x = 162.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.