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Finding the Fourth Proportional to 140.23, 193.53 and 78.06

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Solution

The fourth proportional to 140.23, 193.53 and 78.06 is: 107.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.23 : 193.53 = 78.06 : x
  2. Step 2: Convert to fraction form
    140.23/193.53 = 78.06/x
  3. Step 3: Cross multiply
    140.23x = 193.53 × 78.06
  4. Step 4: Simplify right side
    140.23x = 15,106.66
  5. Step 5: Solve for x
    x = 15,106.66/140.23
  6. Step 6: Final answer
    x = 107.73

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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.