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Finding the Fourth Proportional to 147.19, 220.30 and 105.95

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Solution

The fourth proportional to 147.19, 220.30 and 105.95 is: 158.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.19 : 220.30 = 105.95 : x
  2. Step 2: Convert to fraction form
    147.19/220.30 = 105.95/x
  3. Step 3: Cross multiply
    147.19x = 220.30 × 105.95
  4. Step 4: Simplify right side
    147.19x = 23,340.79
  5. Step 5: Solve for x
    x = 23,340.79/147.19
  6. Step 6: Final answer
    x = 158.58

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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.