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Finding the Fourth Proportional to 89.31, 123.83 and 84.45

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Solution

The fourth proportional to 89.31, 123.83 and 84.45 is: 117.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.31 : 123.83 = 84.45 : x
  2. Step 2: Convert to fraction form
    89.31/123.83 = 84.45/x
  3. Step 3: Cross multiply
    89.31x = 123.83 × 84.45
  4. Step 4: Simplify right side
    89.31x = 10,457.23
  5. Step 5: Solve for x
    x = 10,457.23/89.31
  6. Step 6: Final answer
    x = 117.09

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.