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Finding the Fourth Proportional to 40.44, 60.54 and 32.34

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Solution

The fourth proportional to 40.44, 60.54 and 32.34 is: 48.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.44 : 60.54 = 32.34 : x
  2. Step 2: Convert to fraction form
    40.44/60.54 = 32.34/x
  3. Step 3: Cross multiply
    40.44x = 60.54 × 32.34
  4. Step 4: Simplify right side
    40.44x = 1,957.86
  5. Step 5: Solve for x
    x = 1,957.86/40.44
  6. Step 6: Final answer
    x = 48.41

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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.