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Finding the Fourth Proportional to 32.69, 49.19 and 27.02

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Solution

The fourth proportional to 32.69, 49.19 and 27.02 is: 40.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.69 : 49.19 = 27.02 : x
  2. Step 2: Convert to fraction form
    32.69/49.19 = 27.02/x
  3. Step 3: Cross multiply
    32.69x = 49.19 × 27.02
  4. Step 4: Simplify right side
    32.69x = 1,329.11
  5. Step 5: Solve for x
    x = 1,329.11/32.69
  6. Step 6: Final answer
    x = 40.66

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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.