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Finding the Fourth Proportional to 140.54, 193.95 and 78.37

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Solution

The fourth proportional to 140.54, 193.95 and 78.37 is: 108.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.54 : 193.95 = 78.37 : x
  2. Step 2: Convert to fraction form
    140.54/193.95 = 78.37/x
  3. Step 3: Cross multiply
    140.54x = 193.95 × 78.37
  4. Step 4: Simplify right side
    140.54x = 15,199.38
  5. Step 5: Solve for x
    x = 15,199.38/140.54
  6. Step 6: Final answer
    x = 108.15

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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.