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Finding the Fourth Proportional to 149.12, 205.62 and 112.16

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Solution

The fourth proportional to 149.12, 205.62 and 112.16 is: 154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.12 : 205.62 = 112.16 : x
  2. Step 2: Convert to fraction form
    149.12/205.62 = 112.16/x
  3. Step 3: Cross multiply
    149.12x = 205.62 × 112.16
  4. Step 4: Simplify right side
    149.12x = 23,062.34
  5. Step 5: Solve for x
    x = 23,062.34/149.12
  6. Step 6: Final answer
    x = 154.66

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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.