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Finding the Fourth Proportional to 147.03, 220.38 and 78.48

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Solution

The fourth proportional to 147.03, 220.38 and 78.48 is: 117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.03 : 220.38 = 78.48 : x
  2. Step 2: Convert to fraction form
    147.03/220.38 = 78.48/x
  3. Step 3: Cross multiply
    147.03x = 220.38 × 78.48
  4. Step 4: Simplify right side
    147.03x = 17,295.42
  5. Step 5: Solve for x
    x = 17,295.42/147.03
  6. Step 6: Final answer
    x = 117.63

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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.