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Finding the Fourth Proportional to 147.20, 220.95 and 117.14

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Solution

The fourth proportional to 147.20, 220.95 and 117.14 is: 175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.20 : 220.95 = 117.14 : x
  2. Step 2: Convert to fraction form
    147.20/220.95 = 117.14/x
  3. Step 3: Cross multiply
    147.20x = 220.95 × 117.14
  4. Step 4: Simplify right side
    147.20x = 25,880.98
  5. Step 5: Solve for x
    x = 25,880.98/147.20
  6. Step 6: Final answer
    x = 175.83

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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.