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Finding the Fourth Proportional to 92.94, 138.36 and 92.40

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Solution

The fourth proportional to 92.94, 138.36 and 92.40 is: 137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.94 : 138.36 = 92.40 : x
  2. Step 2: Convert to fraction form
    92.94/138.36 = 92.40/x
  3. Step 3: Cross multiply
    92.94x = 138.36 × 92.40
  4. Step 4: Simplify right side
    92.94x = 12,784.46
  5. Step 5: Solve for x
    x = 12,784.46/92.94
  6. Step 6: Final answer
    x = 137.56

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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.