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Finding the Fourth Proportional to 32.82, 45.14 and 30.02

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Solution

The fourth proportional to 32.82, 45.14 and 30.02 is: 41.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.82 : 45.14 = 30.02 : x
  2. Step 2: Convert to fraction form
    32.82/45.14 = 30.02/x
  3. Step 3: Cross multiply
    32.82x = 45.14 × 30.02
  4. Step 4: Simplify right side
    32.82x = 1,355.10
  5. Step 5: Solve for x
    x = 1,355.10/32.82
  6. Step 6: Final answer
    x = 41.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.