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Finding the Fourth Proportional to 136, 203.70 and 112.96

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Solution

The fourth proportional to 136, 203.70 and 112.96 is: 169.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    136 : 203.70 = 112.96 : x
  2. Step 2: Convert to fraction form
    136/203.70 = 112.96/x
  3. Step 3: Cross multiply
    136x = 203.70 × 112.96
  4. Step 4: Simplify right side
    136x = 23,009.95
  5. Step 5: Solve for x
    x = 23,009.95/136
  6. Step 6: Final answer
    x = 169.19

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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.