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Finding the Fourth Proportional to 134.76, 185.64 and 129.96

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Solution

The fourth proportional to 134.76, 185.64 and 129.96 is: 179.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.76 : 185.64 = 129.96 : x
  2. Step 2: Convert to fraction form
    134.76/185.64 = 129.96/x
  3. Step 3: Cross multiply
    134.76x = 185.64 × 129.96
  4. Step 4: Simplify right side
    134.76x = 24,125.77
  5. Step 5: Solve for x
    x = 24,125.77/134.76
  6. Step 6: Final answer
    x = 179.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.