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Finding the Fourth Proportional to 24.10, 35.91 and 22.34

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Solution

The fourth proportional to 24.10, 35.91 and 22.34 is: 33.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.10 : 35.91 = 22.34 : x
  2. Step 2: Convert to fraction form
    24.10/35.91 = 22.34/x
  3. Step 3: Cross multiply
    24.10x = 35.91 × 22.34
  4. Step 4: Simplify right side
    24.10x = 802.32
  5. Step 5: Solve for x
    x = 802.32/24.10
  6. Step 6: Final answer
    x = 33.29

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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.