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Finding the Fourth Proportional to 89.08, 123.04 and 83

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Solution

The fourth proportional to 89.08, 123.04 and 83 is: 114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.08 : 123.04 = 83 : x
  2. Step 2: Convert to fraction form
    89.08/123.04 = 83/x
  3. Step 3: Cross multiply
    89.08x = 123.04 × 83
  4. Step 4: Simplify right side
    89.08x = 10,212.32
  5. Step 5: Solve for x
    x = 10,212.32/89.08
  6. Step 6: Final answer
    x = 114.64

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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.