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Finding the Fourth Proportional to 17, 23.47 and 10.53

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Solution

The fourth proportional to 17, 23.47 and 10.53 is: 14.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17 : 23.47 = 10.53 : x
  2. Step 2: Convert to fraction form
    17/23.47 = 10.53/x
  3. Step 3: Cross multiply
    17x = 23.47 × 10.53
  4. Step 4: Simplify right side
    17x = 247.14
  5. Step 5: Solve for x
    x = 247.14/17
  6. Step 6: Final answer
    x = 14.54

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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.