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Finding the Fourth Proportional to 140.76, 194.07 and 105.24

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Solution

The fourth proportional to 140.76, 194.07 and 105.24 is: 145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.76 : 194.07 = 105.24 : x
  2. Step 2: Convert to fraction form
    140.76/194.07 = 105.24/x
  3. Step 3: Cross multiply
    140.76x = 194.07 × 105.24
  4. Step 4: Simplify right side
    140.76x = 20,423.93
  5. Step 5: Solve for x
    x = 20,423.93/140.76
  6. Step 6: Final answer
    x = 145.10

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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.