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Finding the Fourth Proportional to 92.37, 138.58 and 31.50

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Solution

The fourth proportional to 92.37, 138.58 and 31.50 is: 47.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.37 : 138.58 = 31.50 : x
  2. Step 2: Convert to fraction form
    92.37/138.58 = 31.50/x
  3. Step 3: Cross multiply
    92.37x = 138.58 × 31.50
  4. Step 4: Simplify right side
    92.37x = 4,365.19
  5. Step 5: Solve for x
    x = 4,365.19/92.37
  6. Step 6: Final answer
    x = 47.26

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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.