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Finding the Fourth Proportional to 128.05, 176.66 and 89.26

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Solution

The fourth proportional to 128.05, 176.66 and 89.26 is: 123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.05 : 176.66 = 89.26 : x
  2. Step 2: Convert to fraction form
    128.05/176.66 = 89.26/x
  3. Step 3: Cross multiply
    128.05x = 176.66 × 89.26
  4. Step 4: Simplify right side
    128.05x = 15,768.20
  5. Step 5: Solve for x
    x = 15,768.20/128.05
  6. Step 6: Final answer
    x = 123.14

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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.