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Finding the Fourth Proportional to 17.53, 24.01 and 17.38

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Solution

The fourth proportional to 17.53, 24.01 and 17.38 is: 23.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.53 : 24.01 = 17.38 : x
  2. Step 2: Convert to fraction form
    17.53/24.01 = 17.38/x
  3. Step 3: Cross multiply
    17.53x = 24.01 × 17.38
  4. Step 4: Simplify right side
    17.53x = 417.29
  5. Step 5: Solve for x
    x = 417.29/17.53
  6. Step 6: Final answer
    x = 23.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.