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Finding the Fourth Proportional to 102.22, 141.05 and 60.77

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Solution

The fourth proportional to 102.22, 141.05 and 60.77 is: 83.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.22 : 141.05 = 60.77 : x
  2. Step 2: Convert to fraction form
    102.22/141.05 = 60.77/x
  3. Step 3: Cross multiply
    102.22x = 141.05 × 60.77
  4. Step 4: Simplify right side
    102.22x = 8,571.06
  5. Step 5: Solve for x
    x = 8,571.06/102.22
  6. Step 6: Final answer
    x = 83.85

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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.