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Finding the Fourth Proportional to 89.38, 123.41 and 74.02

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Solution

The fourth proportional to 89.38, 123.41 and 74.02 is: 102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.38 : 123.41 = 74.02 : x
  2. Step 2: Convert to fraction form
    89.38/123.41 = 74.02/x
  3. Step 3: Cross multiply
    89.38x = 123.41 × 74.02
  4. Step 4: Simplify right side
    89.38x = 9,134.81
  5. Step 5: Solve for x
    x = 9,134.81/89.38
  6. Step 6: Final answer
    x = 102.20

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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.