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Finding the Fourth Proportional to 104.21, 143.86 and 99.85

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Solution

The fourth proportional to 104.21, 143.86 and 99.85 is: 137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.21 : 143.86 = 99.85 : x
  2. Step 2: Convert to fraction form
    104.21/143.86 = 99.85/x
  3. Step 3: Cross multiply
    104.21x = 143.86 × 99.85
  4. Step 4: Simplify right side
    104.21x = 14,364.42
  5. Step 5: Solve for x
    x = 14,364.42/104.21
  6. Step 6: Final answer
    x = 137.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.