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Finding the Fourth Proportional to 32.84, 45.30 and 27.02

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Solution

The fourth proportional to 32.84, 45.30 and 27.02 is: 37.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.84 : 45.30 = 27.02 : x
  2. Step 2: Convert to fraction form
    32.84/45.30 = 27.02/x
  3. Step 3: Cross multiply
    32.84x = 45.30 × 27.02
  4. Step 4: Simplify right side
    32.84x = 1,224.01
  5. Step 5: Solve for x
    x = 1,224.01/32.84
  6. Step 6: Final answer
    x = 37.27

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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.