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Finding the Fourth Proportional to 92.64, 138.86 and 49.28

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Solution

The fourth proportional to 92.64, 138.86 and 49.28 is: 73.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.64 : 138.86 = 49.28 : x
  2. Step 2: Convert to fraction form
    92.64/138.86 = 49.28/x
  3. Step 3: Cross multiply
    92.64x = 138.86 × 49.28
  4. Step 4: Simplify right side
    92.64x = 6,843.02
  5. Step 5: Solve for x
    x = 6,843.02/92.64
  6. Step 6: Final answer
    x = 73.87

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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.