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Finding the Fourth Proportional to 97.64, 146.29 and 82.41

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Solution

The fourth proportional to 97.64, 146.29 and 82.41 is: 123.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.64 : 146.29 = 82.41 : x
  2. Step 2: Convert to fraction form
    97.64/146.29 = 82.41/x
  3. Step 3: Cross multiply
    97.64x = 146.29 × 82.41
  4. Step 4: Simplify right side
    97.64x = 12,055.76
  5. Step 5: Solve for x
    x = 12,055.76/97.64
  6. Step 6: Final answer
    x = 123.47

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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.