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Finding the Fourth Proportional to 140.23, 193.40 and 105.27

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Solution

The fourth proportional to 140.23, 193.40 and 105.27 is: 145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.23 : 193.40 = 105.27 : x
  2. Step 2: Convert to fraction form
    140.23/193.40 = 105.27/x
  3. Step 3: Cross multiply
    140.23x = 193.40 × 105.27
  4. Step 4: Simplify right side
    140.23x = 20,358.51
  5. Step 5: Solve for x
    x = 20,358.51/140.23
  6. Step 6: Final answer
    x = 145.18

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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.