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Finding the Fourth Proportional to 58.21, 80.16 and 54.55

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Solution

The fourth proportional to 58.21, 80.16 and 54.55 is: 75.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.21 : 80.16 = 54.55 : x
  2. Step 2: Convert to fraction form
    58.21/80.16 = 54.55/x
  3. Step 3: Cross multiply
    58.21x = 80.16 × 54.55
  4. Step 4: Simplify right side
    58.21x = 4,372.73
  5. Step 5: Solve for x
    x = 4,372.73/58.21
  6. Step 6: Final answer
    x = 75.12

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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.