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Finding the Fourth Proportional to 146.54, 219.84 and 78.04

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Solution

The fourth proportional to 146.54, 219.84 and 78.04 is: 117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.54 : 219.84 = 78.04 : x
  2. Step 2: Convert to fraction form
    146.54/219.84 = 78.04/x
  3. Step 3: Cross multiply
    146.54x = 219.84 × 78.04
  4. Step 4: Simplify right side
    146.54x = 17,154.82
  5. Step 5: Solve for x
    x = 17,154.82/146.54
  6. Step 6: Final answer
    x = 117.07

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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.