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Finding the Fourth Proportional to 92.81, 138.59 and 75.65

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Solution

The fourth proportional to 92.81, 138.59 and 75.65 is: 112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.81 : 138.59 = 75.65 : x
  2. Step 2: Convert to fraction form
    92.81/138.59 = 75.65/x
  3. Step 3: Cross multiply
    92.81x = 138.59 × 75.65
  4. Step 4: Simplify right side
    92.81x = 10,484.75
  5. Step 5: Solve for x
    x = 10,484.75/92.81
  6. Step 6: Final answer
    x = 112.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.