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Finding the Fourth Proportional to 140.06, 193.13 and 102.55

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Solution

The fourth proportional to 140.06, 193.13 and 102.55 is: 141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.06 : 193.13 = 102.55 : x
  2. Step 2: Convert to fraction form
    140.06/193.13 = 102.55/x
  3. Step 3: Cross multiply
    140.06x = 193.13 × 102.55
  4. Step 4: Simplify right side
    140.06x = 19,805.81
  5. Step 5: Solve for x
    x = 19,805.81/140.06
  6. Step 6: Final answer
    x = 141.41

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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.