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Finding the Fourth Proportional to 24.84, 36.97 and 24.03

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Solution

The fourth proportional to 24.84, 36.97 and 24.03 is: 35.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.84 : 36.97 = 24.03 : x
  2. Step 2: Convert to fraction form
    24.84/36.97 = 24.03/x
  3. Step 3: Cross multiply
    24.84x = 36.97 × 24.03
  4. Step 4: Simplify right side
    24.84x = 888.46
  5. Step 5: Solve for x
    x = 888.46/24.84
  6. Step 6: Final answer
    x = 35.77

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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.