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Finding the Fourth Proportional to 35.82, 49.40 and 23.54

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Solution

The fourth proportional to 35.82, 49.40 and 23.54 is: 32.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.82 : 49.40 = 23.54 : x
  2. Step 2: Convert to fraction form
    35.82/49.40 = 23.54/x
  3. Step 3: Cross multiply
    35.82x = 49.40 × 23.54
  4. Step 4: Simplify right side
    35.82x = 1,162.51
  5. Step 5: Solve for x
    x = 1,162.51/35.82
  6. Step 6: Final answer
    x = 32.45

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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.