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Finding the Fourth Proportional to 32.67, 45 and 27.18

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Solution

The fourth proportional to 32.67, 45 and 27.18 is: 37.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.67 : 45 = 27.18 : x
  2. Step 2: Convert to fraction form
    32.67/45 = 27.18/x
  3. Step 3: Cross multiply
    32.67x = 45 × 27.18
  4. Step 4: Simplify right side
    32.67x = 1,223.10
  5. Step 5: Solve for x
    x = 1,223.10/32.67
  6. Step 6: Final answer
    x = 37.44

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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.