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Finding the Fourth Proportional to 141.55, 211.86 and 76.45

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Solution

The fourth proportional to 141.55, 211.86 and 76.45 is: 114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.55 : 211.86 = 76.45 : x
  2. Step 2: Convert to fraction form
    141.55/211.86 = 76.45/x
  3. Step 3: Cross multiply
    141.55x = 211.86 × 76.45
  4. Step 4: Simplify right side
    141.55x = 16,196.70
  5. Step 5: Solve for x
    x = 16,196.70/141.55
  6. Step 6: Final answer
    x = 114.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.