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Finding the Fourth Proportional to 141.76, 212.76 and 86.98

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Solution

The fourth proportional to 141.76, 212.76 and 86.98 is: 130.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.76 : 212.76 = 86.98 : x
  2. Step 2: Convert to fraction form
    141.76/212.76 = 86.98/x
  3. Step 3: Cross multiply
    141.76x = 212.76 × 86.98
  4. Step 4: Simplify right side
    141.76x = 18,505.86
  5. Step 5: Solve for x
    x = 18,505.86/141.76
  6. Step 6: Final answer
    x = 130.54

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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.