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Finding the Fourth Proportional to 45.16, 67.59 and 24.56

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Solution

The fourth proportional to 45.16, 67.59 and 24.56 is: 36.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.16 : 67.59 = 24.56 : x
  2. Step 2: Convert to fraction form
    45.16/67.59 = 24.56/x
  3. Step 3: Cross multiply
    45.16x = 67.59 × 24.56
  4. Step 4: Simplify right side
    45.16x = 1,660.27
  5. Step 5: Solve for x
    x = 1,660.27/45.16
  6. Step 6: Final answer
    x = 36.76

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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.