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Finding the Fourth Proportional to 32.74, 49.09 and 11.35

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Solution

The fourth proportional to 32.74, 49.09 and 11.35 is: 17.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.74 : 49.09 = 11.35 : x
  2. Step 2: Convert to fraction form
    32.74/49.09 = 11.35/x
  3. Step 3: Cross multiply
    32.74x = 49.09 × 11.35
  4. Step 4: Simplify right side
    32.74x = 556.87
  5. Step 5: Solve for x
    x = 556.87/32.74
  6. Step 6: Final answer
    x = 17.01

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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.