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Finding the Fourth Proportional to 129.65, 178.79 and 109.98

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Solution

The fourth proportional to 129.65, 178.79 and 109.98 is: 151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.65 : 178.79 = 109.98 : x
  2. Step 2: Convert to fraction form
    129.65/178.79 = 109.98/x
  3. Step 3: Cross multiply
    129.65x = 178.79 × 109.98
  4. Step 4: Simplify right side
    129.65x = 19,663.32
  5. Step 5: Solve for x
    x = 19,663.32/129.65
  6. Step 6: Final answer
    x = 151.66

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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.