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Finding the Fourth Proportional to 78.33, 117.49 and 24.23

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Solution

The fourth proportional to 78.33, 117.49 and 24.23 is: 36.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.33 : 117.49 = 24.23 : x
  2. Step 2: Convert to fraction form
    78.33/117.49 = 24.23/x
  3. Step 3: Cross multiply
    78.33x = 117.49 × 24.23
  4. Step 4: Simplify right side
    78.33x = 2,846.13
  5. Step 5: Solve for x
    x = 2,846.13/78.33
  6. Step 6: Final answer
    x = 36.34

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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.