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Finding the Fourth Proportional to 141.66, 213.28 and 112.98

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Solution

The fourth proportional to 141.66, 213.28 and 112.98 is: 170.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.66 : 213.28 = 112.98 : x
  2. Step 2: Convert to fraction form
    141.66/213.28 = 112.98/x
  3. Step 3: Cross multiply
    141.66x = 213.28 × 112.98
  4. Step 4: Simplify right side
    141.66x = 24,096.37
  5. Step 5: Solve for x
    x = 24,096.37/141.66
  6. Step 6: Final answer
    x = 170.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.