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Finding the Fourth Proportional to 60.10, 90.20 and 33.06

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Solution

The fourth proportional to 60.10, 90.20 and 33.06 is: 49.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.10 : 90.20 = 33.06 : x
  2. Step 2: Convert to fraction form
    60.10/90.20 = 33.06/x
  3. Step 3: Cross multiply
    60.10x = 90.20 × 33.06
  4. Step 4: Simplify right side
    60.10x = 2,982.01
  5. Step 5: Solve for x
    x = 2,982.01/60.10
  6. Step 6: Final answer
    x = 49.62

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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.