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Finding the Fourth Proportional to 137.66, 190.04 and 88.57

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Solution

The fourth proportional to 137.66, 190.04 and 88.57 is: 122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.66 : 190.04 = 88.57 : x
  2. Step 2: Convert to fraction form
    137.66/190.04 = 88.57/x
  3. Step 3: Cross multiply
    137.66x = 190.04 × 88.57
  4. Step 4: Simplify right side
    137.66x = 16,831.59
  5. Step 5: Solve for x
    x = 16,831.59/137.66
  6. Step 6: Final answer
    x = 122.27

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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.