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Finding the Fourth Proportional to 102.44, 141.06 and 84.82

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Solution

The fourth proportional to 102.44, 141.06 and 84.82 is: 116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.44 : 141.06 = 84.82 : x
  2. Step 2: Convert to fraction form
    102.44/141.06 = 84.82/x
  3. Step 3: Cross multiply
    102.44x = 141.06 × 84.82
  4. Step 4: Simplify right side
    102.44x = 11,964.71
  5. Step 5: Solve for x
    x = 11,964.71/102.44
  6. Step 6: Final answer
    x = 116.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.