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Finding the Fourth Proportional to 92.19, 138.40 and 75.23

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Solution

The fourth proportional to 92.19, 138.40 and 75.23 is: 112.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.19 : 138.40 = 75.23 : x
  2. Step 2: Convert to fraction form
    92.19/138.40 = 75.23/x
  3. Step 3: Cross multiply
    92.19x = 138.40 × 75.23
  4. Step 4: Simplify right side
    92.19x = 10,410.95
  5. Step 5: Solve for x
    x = 10,410.95/92.19
  6. Step 6: Final answer
    x = 112.93

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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.