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Finding the Fourth Proportional to 102.64, 141.86 and 80.77

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Solution

The fourth proportional to 102.64, 141.86 and 80.77 is: 111.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.64 : 141.86 = 80.77 : x
  2. Step 2: Convert to fraction form
    102.64/141.86 = 80.77/x
  3. Step 3: Cross multiply
    102.64x = 141.86 × 80.77
  4. Step 4: Simplify right side
    102.64x = 11,458.03
  5. Step 5: Solve for x
    x = 11,458.03/102.64
  6. Step 6: Final answer
    x = 111.63

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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.