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Finding the Fourth Proportional to 128.63, 177.51 and 76.88

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Solution

The fourth proportional to 128.63, 177.51 and 76.88 is: 106.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.63 : 177.51 = 76.88 : x
  2. Step 2: Convert to fraction form
    128.63/177.51 = 76.88/x
  3. Step 3: Cross multiply
    128.63x = 177.51 × 76.88
  4. Step 4: Simplify right side
    128.63x = 13,646.08
  5. Step 5: Solve for x
    x = 13,646.08/128.63
  6. Step 6: Final answer
    x = 106.09

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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.