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Finding the Fourth Proportional to 32.56, 49.01 and 27.18

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Solution

The fourth proportional to 32.56, 49.01 and 27.18 is: 40.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.56 : 49.01 = 27.18 : x
  2. Step 2: Convert to fraction form
    32.56/49.01 = 27.18/x
  3. Step 3: Cross multiply
    32.56x = 49.01 × 27.18
  4. Step 4: Simplify right side
    32.56x = 1,331.96
  5. Step 5: Solve for x
    x = 1,331.96/32.56
  6. Step 6: Final answer
    x = 40.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.