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Finding the Fourth Proportional to 141.09, 211.56 and 59.89

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Solution

The fourth proportional to 141.09, 211.56 and 59.89 is: 89.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.09 : 211.56 = 59.89 : x
  2. Step 2: Convert to fraction form
    141.09/211.56 = 59.89/x
  3. Step 3: Cross multiply
    141.09x = 211.56 × 59.89
  4. Step 4: Simplify right side
    141.09x = 12,670.31
  5. Step 5: Solve for x
    x = 12,670.31/141.09
  6. Step 6: Final answer
    x = 89.80

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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.