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Finding the Fourth Proportional to 128.43, 177.17 and 89.64

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Solution

The fourth proportional to 128.43, 177.17 and 89.64 is: 123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.43 : 177.17 = 89.64 : x
  2. Step 2: Convert to fraction form
    128.43/177.17 = 89.64/x
  3. Step 3: Cross multiply
    128.43x = 177.17 × 89.64
  4. Step 4: Simplify right side
    128.43x = 15,881.08
  5. Step 5: Solve for x
    x = 15,881.08/128.43
  6. Step 6: Final answer
    x = 123.66

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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.