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Finding the Fourth Proportional to 141.23, 211.71 and 77.06

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Solution

The fourth proportional to 141.23, 211.71 and 77.06 is: 115.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.23 : 211.71 = 77.06 : x
  2. Step 2: Convert to fraction form
    141.23/211.71 = 77.06/x
  3. Step 3: Cross multiply
    141.23x = 211.71 × 77.06
  4. Step 4: Simplify right side
    141.23x = 16,315.19
  5. Step 5: Solve for x
    x = 16,315.19/141.23
  6. Step 6: Final answer
    x = 115.52

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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.