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Finding the Fourth Proportional to 17.82, 24.53 and 17.01

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Solution

The fourth proportional to 17.82, 24.53 and 17.01 is: 23.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.82 : 24.53 = 17.01 : x
  2. Step 2: Convert to fraction form
    17.82/24.53 = 17.01/x
  3. Step 3: Cross multiply
    17.82x = 24.53 × 17.01
  4. Step 4: Simplify right side
    17.82x = 417.17
  5. Step 5: Solve for x
    x = 417.17/17.82
  6. Step 6: Final answer
    x = 23.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.