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Finding the Fourth Proportional to 129.88, 178.84 and 116.76

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Solution

The fourth proportional to 129.88, 178.84 and 116.76 is: 160.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.88 : 178.84 = 116.76 : x
  2. Step 2: Convert to fraction form
    129.88/178.84 = 116.76/x
  3. Step 3: Cross multiply
    129.88x = 178.84 × 116.76
  4. Step 4: Simplify right side
    129.88x = 20,881.36
  5. Step 5: Solve for x
    x = 20,881.36/129.88
  6. Step 6: Final answer
    x = 160.77

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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.