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Finding the Fourth Proportional to 58.05, 86.52 and 54.80

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Solution

The fourth proportional to 58.05, 86.52 and 54.80 is: 81.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.05 : 86.52 = 54.80 : x
  2. Step 2: Convert to fraction form
    58.05/86.52 = 54.80/x
  3. Step 3: Cross multiply
    58.05x = 86.52 × 54.80
  4. Step 4: Simplify right side
    58.05x = 4,741.30
  5. Step 5: Solve for x
    x = 4,741.30/58.05
  6. Step 6: Final answer
    x = 81.68

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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.