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Finding the Fourth Proportional to 128.34, 177.12 and 103.77

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Solution

The fourth proportional to 128.34, 177.12 and 103.77 is: 143.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.34 : 177.12 = 103.77 : x
  2. Step 2: Convert to fraction form
    128.34/177.12 = 103.77/x
  3. Step 3: Cross multiply
    128.34x = 177.12 × 103.77
  4. Step 4: Simplify right side
    128.34x = 18,379.74
  5. Step 5: Solve for x
    x = 18,379.74/128.34
  6. Step 6: Final answer
    x = 143.21

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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.