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Finding the Fourth Proportional to 146.70, 220.08 and 78.30

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Solution

The fourth proportional to 146.70, 220.08 and 78.30 is: 117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.70 : 220.08 = 78.30 : x
  2. Step 2: Convert to fraction form
    146.70/220.08 = 78.30/x
  3. Step 3: Cross multiply
    146.70x = 220.08 × 78.30
  4. Step 4: Simplify right side
    146.70x = 17,232.26
  5. Step 5: Solve for x
    x = 17,232.26/146.70
  6. Step 6: Final answer
    x = 117.47

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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.