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Finding the Fourth Proportional to 128.96, 177.46 and 128.16

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Solution

The fourth proportional to 128.96, 177.46 and 128.16 is: 176.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.96 : 177.46 = 128.16 : x
  2. Step 2: Convert to fraction form
    128.96/177.46 = 128.16/x
  3. Step 3: Cross multiply
    128.96x = 177.46 × 128.16
  4. Step 4: Simplify right side
    128.96x = 22,742.95
  5. Step 5: Solve for x
    x = 22,742.95/128.96
  6. Step 6: Final answer
    x = 176.36

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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.