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Finding the Fourth Proportional to 128.35, 177.11 and 73.08

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Solution

The fourth proportional to 128.35, 177.11 and 73.08 is: 100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.35 : 177.11 = 73.08 : x
  2. Step 2: Convert to fraction form
    128.35/177.11 = 73.08/x
  3. Step 3: Cross multiply
    128.35x = 177.11 × 73.08
  4. Step 4: Simplify right side
    128.35x = 12,943.20
  5. Step 5: Solve for x
    x = 12,943.20/128.35
  6. Step 6: Final answer
    x = 100.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.