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Finding the Fourth Proportional to 45.07, 67.24 and 43.72

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Solution

The fourth proportional to 45.07, 67.24 and 43.72 is: 65.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.07 : 67.24 = 43.72 : x
  2. Step 2: Convert to fraction form
    45.07/67.24 = 43.72/x
  3. Step 3: Cross multiply
    45.07x = 67.24 × 43.72
  4. Step 4: Simplify right side
    45.07x = 2,939.73
  5. Step 5: Solve for x
    x = 2,939.73/45.07
  6. Step 6: Final answer
    x = 65.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.