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Finding the Fourth Proportional to 89.69, 134.43 and 76.93

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Solution

The fourth proportional to 89.69, 134.43 and 76.93 is: 115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.69 : 134.43 = 76.93 : x
  2. Step 2: Convert to fraction form
    89.69/134.43 = 76.93/x
  3. Step 3: Cross multiply
    89.69x = 134.43 × 76.93
  4. Step 4: Simplify right side
    89.69x = 10,341.70
  5. Step 5: Solve for x
    x = 10,341.70/89.69
  6. Step 6: Final answer
    x = 115.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.