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Finding the Fourth Proportional to 128.64, 177.52 and 76.22

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Solution

The fourth proportional to 128.64, 177.52 and 76.22 is: 105.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.64 : 177.52 = 76.22 : x
  2. Step 2: Convert to fraction form
    128.64/177.52 = 76.22/x
  3. Step 3: Cross multiply
    128.64x = 177.52 × 76.22
  4. Step 4: Simplify right side
    128.64x = 13,531.20
  5. Step 5: Solve for x
    x = 13,531.20/128.64
  6. Step 6: Final answer
    x = 105.19

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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.