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Finding the Fourth Proportional to 128.16, 175.92 and 113.28

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Solution

The fourth proportional to 128.16, 175.92 and 113.28 is: 155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.16 : 175.92 = 113.28 : x
  2. Step 2: Convert to fraction form
    128.16/175.92 = 113.28/x
  3. Step 3: Cross multiply
    128.16x = 175.92 × 113.28
  4. Step 4: Simplify right side
    128.16x = 19,928.22
  5. Step 5: Solve for x
    x = 19,928.22/128.16
  6. Step 6: Final answer
    x = 155.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.