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Finding the Fourth Proportional to 89.50, 123.50 and 54.52

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Solution

The fourth proportional to 89.50, 123.50 and 54.52 is: 75.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.50 : 123.50 = 54.52 : x
  2. Step 2: Convert to fraction form
    89.50/123.50 = 54.52/x
  3. Step 3: Cross multiply
    89.50x = 123.50 × 54.52
  4. Step 4: Simplify right side
    89.50x = 6,733.22
  5. Step 5: Solve for x
    x = 6,733.22/89.50
  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.