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Finding the Fourth Proportional to 40.84, 61.55 and 32.88

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Solution

The fourth proportional to 40.84, 61.55 and 32.88 is: 49.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.84 : 61.55 = 32.88 : x
  2. Step 2: Convert to fraction form
    40.84/61.55 = 32.88/x
  3. Step 3: Cross multiply
    40.84x = 61.55 × 32.88
  4. Step 4: Simplify right side
    40.84x = 2,023.76
  5. Step 5: Solve for x
    x = 2,023.76/40.84
  6. Step 6: Final answer
    x = 49.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.