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Finding the Fourth Proportional to 24.78, 36.93 and 24.33

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Solution

The fourth proportional to 24.78, 36.93 and 24.33 is: 36.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.78 : 36.93 = 24.33 : x
  2. Step 2: Convert to fraction form
    24.78/36.93 = 24.33/x
  3. Step 3: Cross multiply
    24.78x = 36.93 × 24.33
  4. Step 4: Simplify right side
    24.78x = 898.51
  5. Step 5: Solve for x
    x = 898.51/24.78
  6. Step 6: Final answer
    x = 36.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.