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Finding the Fourth Proportional to 58.55, 80.82 and 38.88

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Solution

The fourth proportional to 58.55, 80.82 and 38.88 is: 53.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.55 : 80.82 = 38.88 : x
  2. Step 2: Convert to fraction form
    58.55/80.82 = 38.88/x
  3. Step 3: Cross multiply
    58.55x = 80.82 × 38.88
  4. Step 4: Simplify right side
    58.55x = 3,142.36
  5. Step 5: Solve for x
    x = 3,142.36/58.55
  6. Step 6: Final answer
    x = 53.67

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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.