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Finding the Fourth Proportional to 141.07, 211.61 and 59.90

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Solution

The fourth proportional to 141.07, 211.61 and 59.90 is: 89.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.07 : 211.61 = 59.90 : x
  2. Step 2: Convert to fraction form
    141.07/211.61 = 59.90/x
  3. Step 3: Cross multiply
    141.07x = 211.61 × 59.90
  4. Step 4: Simplify right side
    141.07x = 12,675.14
  5. Step 5: Solve for x
    x = 12,675.14/141.07
  6. Step 6: Final answer
    x = 89.85

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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.