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Finding the Fourth Proportional to 37.65, 56.40 and 24.09

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Solution

The fourth proportional to 37.65, 56.40 and 24.09 is: 36.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.65 : 56.40 = 24.09 : x
  2. Step 2: Convert to fraction form
    37.65/56.40 = 24.09/x
  3. Step 3: Cross multiply
    37.65x = 56.40 × 24.09
  4. Step 4: Simplify right side
    37.65x = 1,358.68
  5. Step 5: Solve for x
    x = 1,358.68/37.65
  6. Step 6: Final answer
    x = 36.09

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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.