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Finding the Fourth Proportional to 128.77, 177.67 and 82.16

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Solution

The fourth proportional to 128.77, 177.67 and 82.16 is: 113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.77 : 177.67 = 82.16 : x
  2. Step 2: Convert to fraction form
    128.77/177.67 = 82.16/x
  3. Step 3: Cross multiply
    128.77x = 177.67 × 82.16
  4. Step 4: Simplify right side
    128.77x = 14,597.61
  5. Step 5: Solve for x
    x = 14,597.61/128.77
  6. Step 6: Final answer
    x = 113.36

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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.