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Finding the Fourth Proportional to 141.60, 211.86 and 77.52

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Solution

The fourth proportional to 141.60, 211.86 and 77.52 is: 115.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.60 : 211.86 = 77.52 : x
  2. Step 2: Convert to fraction form
    141.60/211.86 = 77.52/x
  3. Step 3: Cross multiply
    141.60x = 211.86 × 77.52
  4. Step 4: Simplify right side
    141.60x = 16,423.39
  5. Step 5: Solve for x
    x = 16,423.39/141.60
  6. Step 6: Final answer
    x = 115.98

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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.