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Finding the Fourth Proportional to 140.09, 193.08 and 113.77

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Solution

The fourth proportional to 140.09, 193.08 and 113.77 is: 156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.09 : 193.08 = 113.77 : x
  2. Step 2: Convert to fraction form
    140.09/193.08 = 113.77/x
  3. Step 3: Cross multiply
    140.09x = 193.08 × 113.77
  4. Step 4: Simplify right side
    140.09x = 21,966.29
  5. Step 5: Solve for x
    x = 21,966.29/140.09
  6. Step 6: Final answer
    x = 156.80

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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.