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Finding the Fourth Proportional to 17.78, 24.53 and 10.00

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Solution

The fourth proportional to 17.78, 24.53 and 10.00 is: 13.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.78 : 24.53 = 10.00 : x
  2. Step 2: Convert to fraction form
    17.78/24.53 = 10.00/x
  3. Step 3: Cross multiply
    17.78x = 24.53 × 10.00
  4. Step 4: Simplify right side
    17.78x = 245.36
  5. Step 5: Solve for x
    x = 245.36/17.78
  6. Step 6: Final answer
    x = 13.80

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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.