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Finding the Fourth Proportional to 97.84, 146.71 and 54.53

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Solution

The fourth proportional to 97.84, 146.71 and 54.53 is: 81.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.84 : 146.71 = 54.53 : x
  2. Step 2: Convert to fraction form
    97.84/146.71 = 54.53/x
  3. Step 3: Cross multiply
    97.84x = 146.71 × 54.53
  4. Step 4: Simplify right side
    97.84x = 7,999.09
  5. Step 5: Solve for x
    x = 7,999.09/97.84
  6. Step 6: Final answer
    x = 81.76

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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.