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Finding the Fourth Proportional to 128.23, 176.98 and 107.47

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Solution

The fourth proportional to 128.23, 176.98 and 107.47 is: 148.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.23 : 176.98 = 107.47 : x
  2. Step 2: Convert to fraction form
    128.23/176.98 = 107.47/x
  3. Step 3: Cross multiply
    128.23x = 176.98 × 107.47
  4. Step 4: Simplify right side
    128.23x = 19,020.04
  5. Step 5: Solve for x
    x = 19,020.04/128.23
  6. Step 6: Final answer
    x = 148.33

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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.