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Finding the Fourth Proportional to 89.29, 123.29 and 70.86

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Solution

The fourth proportional to 89.29, 123.29 and 70.86 is: 97.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.29 : 123.29 = 70.86 : x
  2. Step 2: Convert to fraction form
    89.29/123.29 = 70.86/x
  3. Step 3: Cross multiply
    89.29x = 123.29 × 70.86
  4. Step 4: Simplify right side
    89.29x = 8,736.33
  5. Step 5: Solve for x
    x = 8,736.33/89.29
  6. Step 6: Final answer
    x = 97.84

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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.