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Finding the Fourth Proportional to 149.42, 206.34 and 112.70

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Solution

The fourth proportional to 149.42, 206.34 and 112.70 is: 155.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.42 : 206.34 = 112.70 : x
  2. Step 2: Convert to fraction form
    149.42/206.34 = 112.70/x
  3. Step 3: Cross multiply
    149.42x = 206.34 × 112.70
  4. Step 4: Simplify right side
    149.42x = 23,254.52
  5. Step 5: Solve for x
    x = 23,254.52/149.42
  6. Step 6: Final answer
    x = 155.63

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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.