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Finding the Fourth Proportional to 43.86, 65.75 and 21.05

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Solution

The fourth proportional to 43.86, 65.75 and 21.05 is: 31.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.86 : 65.75 = 21.05 : x
  2. Step 2: Convert to fraction form
    43.86/65.75 = 21.05/x
  3. Step 3: Cross multiply
    43.86x = 65.75 × 21.05
  4. Step 4: Simplify right side
    43.86x = 1,383.60
  5. Step 5: Solve for x
    x = 1,383.60/43.86
  6. Step 6: Final answer
    x = 31.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.