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Finding the Fourth Proportional to 89.19, 123.07 and 54.23

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Solution

The fourth proportional to 89.19, 123.07 and 54.23 is: 74.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.19 : 123.07 = 54.23 : x
  2. Step 2: Convert to fraction form
    89.19/123.07 = 54.23/x
  3. Step 3: Cross multiply
    89.19x = 123.07 × 54.23
  4. Step 4: Simplify right side
    89.19x = 6,674.10
  5. Step 5: Solve for x
    x = 6,674.10/89.19
  6. Step 6: Final answer
    x = 74.83

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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.