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Finding the Fourth Proportional to 128.99, 178.16 and 128.09

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Solution

The fourth proportional to 128.99, 178.16 and 128.09 is: 176.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.99 : 178.16 = 128.09 : x
  2. Step 2: Convert to fraction form
    128.99/178.16 = 128.09/x
  3. Step 3: Cross multiply
    128.99x = 178.16 × 128.09
  4. Step 4: Simplify right side
    128.99x = 22,820.51
  5. Step 5: Solve for x
    x = 22,820.51/128.99
  6. Step 6: Final answer
    x = 176.92

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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.