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Finding the Fourth Proportional to 24.65, 37.01 and 17.09

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Solution

The fourth proportional to 24.65, 37.01 and 17.09 is: 25.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.65 : 37.01 = 17.09 : x
  2. Step 2: Convert to fraction form
    24.65/37.01 = 17.09/x
  3. Step 3: Cross multiply
    24.65x = 37.01 × 17.09
  4. Step 4: Simplify right side
    24.65x = 632.50
  5. Step 5: Solve for x
    x = 632.50/24.65
  6. Step 6: Final answer
    x = 25.66

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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.