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Finding the Fourth Proportional to 32.84, 45.34 and 23.02

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Solution

The fourth proportional to 32.84, 45.34 and 23.02 is: 31.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.84 : 45.34 = 23.02 : x
  2. Step 2: Convert to fraction form
    32.84/45.34 = 23.02/x
  3. Step 3: Cross multiply
    32.84x = 45.34 × 23.02
  4. Step 4: Simplify right side
    32.84x = 1,043.73
  5. Step 5: Solve for x
    x = 1,043.73/32.84
  6. Step 6: Final answer
    x = 31.78

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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.