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Finding the Fourth Proportional to 136.06, 187.64 and 112.77

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Solution

The fourth proportional to 136.06, 187.64 and 112.77 is: 155.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.06 : 187.64 = 112.77 : x
  2. Step 2: Convert to fraction form
    136.06/187.64 = 112.77/x
  3. Step 3: Cross multiply
    136.06x = 187.64 × 112.77
  4. Step 4: Simplify right side
    136.06x = 21,160.16
  5. Step 5: Solve for x
    x = 21,160.16/136.06
  6. Step 6: Final answer
    x = 155.52

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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.