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Finding the Fourth Proportional to 58.85, 81.23 and 35.54

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Solution

The fourth proportional to 58.85, 81.23 and 35.54 is: 49.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.85 : 81.23 = 35.54 : x
  2. Step 2: Convert to fraction form
    58.85/81.23 = 35.54/x
  3. Step 3: Cross multiply
    58.85x = 81.23 × 35.54
  4. Step 4: Simplify right side
    58.85x = 2,886.73
  5. Step 5: Solve for x
    x = 2,886.73/58.85
  6. Step 6: Final answer
    x = 49.05

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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.