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Finding the Fourth Proportional to 24.35, 36.72 and 23.24

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Solution

The fourth proportional to 24.35, 36.72 and 23.24 is: 35.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.35 : 36.72 = 23.24 : x
  2. Step 2: Convert to fraction form
    24.35/36.72 = 23.24/x
  3. Step 3: Cross multiply
    24.35x = 36.72 × 23.24
  4. Step 4: Simplify right side
    24.35x = 853.46
  5. Step 5: Solve for x
    x = 853.46/24.35
  6. Step 6: Final answer
    x = 35.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.