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Finding the Fourth Proportional to 153.80, 212.27 and 106.60

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Solution

The fourth proportional to 153.80, 212.27 and 106.60 is: 147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.80 : 212.27 = 106.60 : x
  2. Step 2: Convert to fraction form
    153.80/212.27 = 106.60/x
  3. Step 3: Cross multiply
    153.80x = 212.27 × 106.60
  4. Step 4: Simplify right side
    153.80x = 22,627.92
  5. Step 5: Solve for x
    x = 22,627.92/153.80
  6. Step 6: Final answer
    x = 147.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.