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Finding the Fourth Proportional to 35.46, 48.92 and 23.18

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Solution

The fourth proportional to 35.46, 48.92 and 23.18 is: 31.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.46 : 48.92 = 23.18 : x
  2. Step 2: Convert to fraction form
    35.46/48.92 = 23.18/x
  3. Step 3: Cross multiply
    35.46x = 48.92 × 23.18
  4. Step 4: Simplify right side
    35.46x = 1,133.61
  5. Step 5: Solve for x
    x = 1,133.61/35.46
  6. Step 6: Final answer
    x = 31.97

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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.