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Finding the Fourth Proportional to 141.16, 211.71 and 102.30

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Solution

The fourth proportional to 141.16, 211.71 and 102.30 is: 153.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.16 : 211.71 = 102.30 : x
  2. Step 2: Convert to fraction form
    141.16/211.71 = 102.30/x
  3. Step 3: Cross multiply
    141.16x = 211.71 × 102.30
  4. Step 4: Simplify right side
    141.16x = 21,657.75
  5. Step 5: Solve for x
    x = 21,657.75/141.16
  6. Step 6: Final answer
    x = 153.43

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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.