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Finding the Fourth Proportional to 103.28, 141.60 and 101.86

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Solution

The fourth proportional to 103.28, 141.60 and 101.86 is: 139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.28 : 141.60 = 101.86 : x
  2. Step 2: Convert to fraction form
    103.28/141.60 = 101.86/x
  3. Step 3: Cross multiply
    103.28x = 141.60 × 101.86
  4. Step 4: Simplify right side
    103.28x = 14,422.83
  5. Step 5: Solve for x
    x = 14,422.83/103.28
  6. Step 6: Final answer
    x = 139.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.