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Finding the Fourth Proportional to 43.23, 64.87 and 20.08

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Solution

The fourth proportional to 43.23, 64.87 and 20.08 is: 30.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.23 : 64.87 = 20.08 : x
  2. Step 2: Convert to fraction form
    43.23/64.87 = 20.08/x
  3. Step 3: Cross multiply
    43.23x = 64.87 × 20.08
  4. Step 4: Simplify right side
    43.23x = 1,302.49
  5. Step 5: Solve for x
    x = 1,302.49/43.23
  6. Step 6: Final answer
    x = 30.13

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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.