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Finding the Fourth Proportional to 92.03, 138 and 31.14

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Solution

The fourth proportional to 92.03, 138 and 31.14 is: 46.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.03 : 138 = 31.14 : x
  2. Step 2: Convert to fraction form
    92.03/138 = 31.14/x
  3. Step 3: Cross multiply
    92.03x = 138 × 31.14
  4. Step 4: Simplify right side
    92.03x = 4,297.32
  5. Step 5: Solve for x
    x = 4,297.32/92.03
  6. Step 6: Final answer
    x = 46.70

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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.