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Finding the Fourth Proportional to 129, 178 and 79.92

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Solution

The fourth proportional to 129, 178 and 79.92 is: 110.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    129 : 178 = 79.92 : x
  2. Step 2: Convert to fraction form
    129/178 = 79.92/x
  3. Step 3: Cross multiply
    129x = 178 × 79.92
  4. Step 4: Simplify right side
    129x = 14,225.76
  5. Step 5: Solve for x
    x = 14,225.76/129
  6. Step 6: Final answer
    x = 110.28

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