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Finding the Fourth Proportional to 129.06, 178.16 and 79.98

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Solution

The fourth proportional to 129.06, 178.16 and 79.98 is: 110.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.06 : 178.16 = 79.98 : x
  2. Step 2: Convert to fraction form
    129.06/178.16 = 79.98/x
  3. Step 3: Cross multiply
    129.06x = 178.16 × 79.98
  4. Step 4: Simplify right side
    129.06x = 14,249.24
  5. Step 5: Solve for x
    x = 14,249.24/129.06
  6. Step 6: Final answer
    x = 110.41

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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.