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Finding the Fourth Proportional to 92.35, 138.54 and 41.00

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Solution

The fourth proportional to 92.35, 138.54 and 41.00 is: 61.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.35 : 138.54 = 41.00 : x
  2. Step 2: Convert to fraction form
    92.35/138.54 = 41.00/x
  3. Step 3: Cross multiply
    92.35x = 138.54 × 41.00
  4. Step 4: Simplify right side
    92.35x = 5,679.45
  5. Step 5: Solve for x
    x = 5,679.45/92.35
  6. Step 6: Final answer
    x = 61.50

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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.