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Finding the Fourth Proportional to 89.74, 123.82 and 54.75

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Solution

The fourth proportional to 89.74, 123.82 and 54.75 is: 75.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.74 : 123.82 = 54.75 : x
  2. Step 2: Convert to fraction form
    89.74/123.82 = 54.75/x
  3. Step 3: Cross multiply
    89.74x = 123.82 × 54.75
  4. Step 4: Simplify right side
    89.74x = 6,779.15
  5. Step 5: Solve for x
    x = 6,779.15/89.74
  6. Step 6: Final answer
    x = 75.54

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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.