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Finding the Fourth Proportional to 89.45, 123.46 and 54.50

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Solution

The fourth proportional to 89.45, 123.46 and 54.50 is: 75.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.45 : 123.46 = 54.50 : x
  2. Step 2: Convert to fraction form
    89.45/123.46 = 54.50/x
  3. Step 3: Cross multiply
    89.45x = 123.46 × 54.50
  4. Step 4: Simplify right side
    89.45x = 6,728.78
  5. Step 5: Solve for x
    x = 6,728.78/89.45
  6. Step 6: Final answer
    x = 75.23

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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.