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Finding the Fourth Proportional to 89.14, 123.02 and 54.19

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Solution

The fourth proportional to 89.14, 123.02 and 54.19 is: 74.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.14 : 123.02 = 54.19 : x
  2. Step 2: Convert to fraction form
    89.14/123.02 = 54.19/x
  3. Step 3: Cross multiply
    89.14x = 123.02 × 54.19
  4. Step 4: Simplify right side
    89.14x = 6,666.45
  5. Step 5: Solve for x
    x = 6,666.45/89.14
  6. Step 6: Final answer
    x = 74.79

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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.