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Finding the Fourth Proportional to 129.83, 179.10 and 74.54

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Solution

The fourth proportional to 129.83, 179.10 and 74.54 is: 102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.83 : 179.10 = 74.54 : x
  2. Step 2: Convert to fraction form
    129.83/179.10 = 74.54/x
  3. Step 3: Cross multiply
    129.83x = 179.10 × 74.54
  4. Step 4: Simplify right side
    129.83x = 13,349.22
  5. Step 5: Solve for x
    x = 13,349.22/129.83
  6. Step 6: Final answer
    x = 102.82

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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.