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Finding the Fourth Proportional to 53.84, 80.76 and 32.18

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Solution

The fourth proportional to 53.84, 80.76 and 32.18 is: 48.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.84 : 80.76 = 32.18 : x
  2. Step 2: Convert to fraction form
    53.84/80.76 = 32.18/x
  3. Step 3: Cross multiply
    53.84x = 80.76 × 32.18
  4. Step 4: Simplify right side
    53.84x = 2,598.86
  5. Step 5: Solve for x
    x = 2,598.86/53.84
  6. Step 6: Final answer
    x = 48.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.