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Finding the Fourth Proportional to 89.15, 123.05 and 83.07

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Solution

The fourth proportional to 89.15, 123.05 and 83.07 is: 114.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.15 : 123.05 = 83.07 : x
  2. Step 2: Convert to fraction form
    89.15/123.05 = 83.07/x
  3. Step 3: Cross multiply
    89.15x = 123.05 × 83.07
  4. Step 4: Simplify right side
    89.15x = 10,221.76
  5. Step 5: Solve for x
    x = 10,221.76/89.15
  6. Step 6: Final answer
    x = 114.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.