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Finding the Fourth Proportional to 35.92, 53.69 and 31.06

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Solution

The fourth proportional to 35.92, 53.69 and 31.06 is: 46.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.92 : 53.69 = 31.06 : x
  2. Step 2: Convert to fraction form
    35.92/53.69 = 31.06/x
  3. Step 3: Cross multiply
    35.92x = 53.69 × 31.06
  4. Step 4: Simplify right side
    35.92x = 1,667.61
  5. Step 5: Solve for x
    x = 1,667.61/35.92
  6. Step 6: Final answer
    x = 46.43

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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.