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Finding the Fourth Proportional to 89.24, 123.30 and 78.50

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Solution

The fourth proportional to 89.24, 123.30 and 78.50 is: 108.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.24 : 123.30 = 78.50 : x
  2. Step 2: Convert to fraction form
    89.24/123.30 = 78.50/x
  3. Step 3: Cross multiply
    89.24x = 123.30 × 78.50
  4. Step 4: Simplify right side
    89.24x = 9,679.36
  5. Step 5: Solve for x
    x = 9,679.36/89.24
  6. Step 6: Final answer
    x = 108.47

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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.