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Finding the Fourth Proportional to 140.08, 193.44 and 127.84

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Solution

The fourth proportional to 140.08, 193.44 and 127.84 is: 176.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.08 : 193.44 = 127.84 : x
  2. Step 2: Convert to fraction form
    140.08/193.44 = 127.84/x
  3. Step 3: Cross multiply
    140.08x = 193.44 × 127.84
  4. Step 4: Simplify right side
    140.08x = 24,729.37
  5. Step 5: Solve for x
    x = 24,729.37/140.08
  6. Step 6: Final answer
    x = 176.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.