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Finding the Fourth Proportional to 92.10, 138.09 and 60.06

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Solution

The fourth proportional to 92.10, 138.09 and 60.06 is: 90.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.10 : 138.09 = 60.06 : x
  2. Step 2: Convert to fraction form
    92.10/138.09 = 60.06/x
  3. Step 3: Cross multiply
    92.10x = 138.09 × 60.06
  4. Step 4: Simplify right side
    92.10x = 8,293.69
  5. Step 5: Solve for x
    x = 8,293.69/92.10
  6. Step 6: Final answer
    x = 90.05

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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.