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Finding the Fourth Proportional to 140.42, 193.76 and 78.24

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Solution

The fourth proportional to 140.42, 193.76 and 78.24 is: 107.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.42 : 193.76 = 78.24 : x
  2. Step 2: Convert to fraction form
    140.42/193.76 = 78.24/x
  3. Step 3: Cross multiply
    140.42x = 193.76 × 78.24
  4. Step 4: Simplify right side
    140.42x = 15,159.78
  5. Step 5: Solve for x
    x = 15,159.78/140.42
  6. Step 6: Final answer
    x = 107.96

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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.