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Finding the Fourth Proportional to 43.13, 64.61 and 25.72

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Solution

The fourth proportional to 43.13, 64.61 and 25.72 is: 38.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.13 : 64.61 = 25.72 : x
  2. Step 2: Convert to fraction form
    43.13/64.61 = 25.72/x
  3. Step 3: Cross multiply
    43.13x = 64.61 × 25.72
  4. Step 4: Simplify right side
    43.13x = 1,661.70
  5. Step 5: Solve for x
    x = 1,661.70/43.13
  6. Step 6: Final answer
    x = 38.53

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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.