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Finding the Fourth Proportional to 89.31, 123.23 and 56.60

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Solution

The fourth proportional to 89.31, 123.23 and 56.60 is: 78.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.31 : 123.23 = 56.60 : x
  2. Step 2: Convert to fraction form
    89.31/123.23 = 56.60/x
  3. Step 3: Cross multiply
    89.31x = 123.23 × 56.60
  4. Step 4: Simplify right side
    89.31x = 6,974.54
  5. Step 5: Solve for x
    x = 6,974.54/89.31
  6. Step 6: Final answer
    x = 78.09

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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.