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Finding the Fourth Proportional to 146.53, 219.76 and 78.09

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Solution

The fourth proportional to 146.53, 219.76 and 78.09 is: 117.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.53 : 219.76 = 78.09 : x
  2. Step 2: Convert to fraction form
    146.53/219.76 = 78.09/x
  3. Step 3: Cross multiply
    146.53x = 219.76 × 78.09
  4. Step 4: Simplify right side
    146.53x = 17,161.06
  5. Step 5: Solve for x
    x = 17,161.06/146.53
  6. Step 6: Final answer
    x = 117.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.