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Finding the Fourth Proportional to 92.90, 138.94 and 75.89

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Solution

The fourth proportional to 92.90, 138.94 and 75.89 is: 113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.90 : 138.94 = 75.89 : x
  2. Step 2: Convert to fraction form
    92.90/138.94 = 75.89/x
  3. Step 3: Cross multiply
    92.90x = 138.94 × 75.89
  4. Step 4: Simplify right side
    92.90x = 10,544.16
  5. Step 5: Solve for x
    x = 10,544.16/92.90
  6. Step 6: Final answer
    x = 113.50

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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.