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Finding the Fourth Proportional to 92.52, 138.14 and 75.44

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Solution

The fourth proportional to 92.52, 138.14 and 75.44 is: 112.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.52 : 138.14 = 75.44 : x
  2. Step 2: Convert to fraction form
    92.52/138.14 = 75.44/x
  3. Step 3: Cross multiply
    92.52x = 138.14 × 75.44
  4. Step 4: Simplify right side
    92.52x = 10,421.28
  5. Step 5: Solve for x
    x = 10,421.28/92.52
  6. Step 6: Final answer
    x = 112.64

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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.