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Finding the Fourth Proportional to 89.78, 123.59 and 78.86

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Solution

The fourth proportional to 89.78, 123.59 and 78.86 is: 108.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.78 : 123.59 = 78.86 : x
  2. Step 2: Convert to fraction form
    89.78/123.59 = 78.86/x
  3. Step 3: Cross multiply
    89.78x = 123.59 × 78.86
  4. Step 4: Simplify right side
    89.78x = 9,746.81
  5. Step 5: Solve for x
    x = 9,746.81/89.78
  6. Step 6: Final answer
    x = 108.56

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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.