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Finding the Fourth Proportional to 35.10, 48.40 and 22.82

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Solution

The fourth proportional to 35.10, 48.40 and 22.82 is: 31.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.10 : 48.40 = 22.82 : x
  2. Step 2: Convert to fraction form
    35.10/48.40 = 22.82/x
  3. Step 3: Cross multiply
    35.10x = 48.40 × 22.82
  4. Step 4: Simplify right side
    35.10x = 1,104.19
  5. Step 5: Solve for x
    x = 1,104.19/35.10
  6. Step 6: Final answer
    x = 31.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.