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Finding the Fourth Proportional to 130.66, 196.98 and 121.85

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Solution

The fourth proportional to 130.66, 196.98 and 121.85 is: 183.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.66 : 196.98 = 121.85 : x
  2. Step 2: Convert to fraction form
    130.66/196.98 = 121.85/x
  3. Step 3: Cross multiply
    130.66x = 196.98 × 121.85
  4. Step 4: Simplify right side
    130.66x = 24,001.40
  5. Step 5: Solve for x
    x = 24,001.40/130.66
  6. Step 6: Final answer
    x = 183.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.