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Finding the Fourth Proportional to 43.38, 65.00 and 20.51

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Solution

The fourth proportional to 43.38, 65.00 and 20.51 is: 30.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.38 : 65.00 = 20.51 : x
  2. Step 2: Convert to fraction form
    43.38/65.00 = 20.51/x
  3. Step 3: Cross multiply
    43.38x = 65.00 × 20.51
  4. Step 4: Simplify right side
    43.38x = 1,332.72
  5. Step 5: Solve for x
    x = 1,332.72/43.38
  6. Step 6: Final answer
    x = 30.72

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Why These Related Problems?

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