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Finding the Fourth Proportional to 128.67, 177.68 and 96.07

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Solution

The fourth proportional to 128.67, 177.68 and 96.07 is: 132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.67 : 177.68 = 96.07 : x
  2. Step 2: Convert to fraction form
    128.67/177.68 = 96.07/x
  3. Step 3: Cross multiply
    128.67x = 177.68 × 96.07
  4. Step 4: Simplify right side
    128.67x = 17,068.79
  5. Step 5: Solve for x
    x = 17,068.79/128.67
  6. Step 6: Final answer
    x = 132.66

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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.