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Finding the Fourth Proportional to 89.52, 123.57 and 78.54

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Solution

The fourth proportional to 89.52, 123.57 and 78.54 is: 108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.52 : 123.57 = 78.54 : x
  2. Step 2: Convert to fraction form
    89.52/123.57 = 78.54/x
  3. Step 3: Cross multiply
    89.52x = 123.57 × 78.54
  4. Step 4: Simplify right side
    89.52x = 9,705.19
  5. Step 5: Solve for x
    x = 9,705.19/89.52
  6. Step 6: Final answer
    x = 108.41

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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.