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Finding the Fourth Proportional to 141.21, 211.64 and 76.05

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Solution

The fourth proportional to 141.21, 211.64 and 76.05 is: 113.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.21 : 211.64 = 76.05 : x
  2. Step 2: Convert to fraction form
    141.21/211.64 = 76.05/x
  3. Step 3: Cross multiply
    141.21x = 211.64 × 76.05
  4. Step 4: Simplify right side
    141.21x = 16,095.64
  5. Step 5: Solve for x
    x = 16,095.64/141.21
  6. Step 6: Final answer
    x = 113.98

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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.