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Finding the Fourth Proportional to 102.07, 140.85 and 58.41

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Solution

The fourth proportional to 102.07, 140.85 and 58.41 is: 80.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.07 : 140.85 = 58.41 : x
  2. Step 2: Convert to fraction form
    102.07/140.85 = 58.41/x
  3. Step 3: Cross multiply
    102.07x = 140.85 × 58.41
  4. Step 4: Simplify right side
    102.07x = 8,227.05
  5. Step 5: Solve for x
    x = 8,227.05/102.07
  6. Step 6: Final answer
    x = 80.60

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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.