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Finding the Fourth Proportional to 89.42, 123.30 and 54.92

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Solution

The fourth proportional to 89.42, 123.30 and 54.92 is: 75.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.42 : 123.30 = 54.92 : x
  2. Step 2: Convert to fraction form
    89.42/123.30 = 54.92/x
  3. Step 3: Cross multiply
    89.42x = 123.30 × 54.92
  4. Step 4: Simplify right side
    89.42x = 6,771.64
  5. Step 5: Solve for x
    x = 6,771.64/89.42
  6. Step 6: Final answer
    x = 75.73

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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.