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Finding the Fourth Proportional to 128.82, 177.14 and 110.32

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Solution

The fourth proportional to 128.82, 177.14 and 110.32 is: 151.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.82 : 177.14 = 110.32 : x
  2. Step 2: Convert to fraction form
    128.82/177.14 = 110.32/x
  3. Step 3: Cross multiply
    128.82x = 177.14 × 110.32
  4. Step 4: Simplify right side
    128.82x = 19,542.08
  5. Step 5: Solve for x
    x = 19,542.08/128.82
  6. Step 6: Final answer
    x = 151.70

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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.