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Finding the Fourth Proportional to 92.32, 138.20 and 75.00

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Solution

The fourth proportional to 92.32, 138.20 and 75.00 is: 112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.32 : 138.20 = 75.00 : x
  2. Step 2: Convert to fraction form
    92.32/138.20 = 75.00/x
  3. Step 3: Cross multiply
    92.32x = 138.20 × 75.00
  4. Step 4: Simplify right side
    92.32x = 10,365.53
  5. Step 5: Solve for x
    x = 10,365.53/92.32
  6. Step 6: Final answer
    x = 112.28

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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.