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Finding the Fourth Proportional to 146.64, 219.72 and 78.06

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Solution

The fourth proportional to 146.64, 219.72 and 78.06 is: 116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.64 : 219.72 = 78.06 : x
  2. Step 2: Convert to fraction form
    146.64/219.72 = 78.06/x
  3. Step 3: Cross multiply
    146.64x = 219.72 × 78.06
  4. Step 4: Simplify right side
    146.64x = 17,151.34
  5. Step 5: Solve for x
    x = 17,151.34/146.64
  6. Step 6: Final answer
    x = 116.96

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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.