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Finding the Fourth Proportional to 94.64, 141.33 and 82.48

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Solution

The fourth proportional to 94.64, 141.33 and 82.48 is: 123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.64 : 141.33 = 82.48 : x
  2. Step 2: Convert to fraction form
    94.64/141.33 = 82.48/x
  3. Step 3: Cross multiply
    94.64x = 141.33 × 82.48
  4. Step 4: Simplify right side
    94.64x = 11,656.90
  5. Step 5: Solve for x
    x = 11,656.90/94.64
  6. Step 6: Final answer
    x = 123.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.