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Finding the Fourth Proportional to 128.34, 177.12 and 102.42

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Solution

The fourth proportional to 128.34, 177.12 and 102.42 is: 141.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.34 : 177.12 = 102.42 : x
  2. Step 2: Convert to fraction form
    128.34/177.12 = 102.42/x
  3. Step 3: Cross multiply
    128.34x = 177.12 × 102.42
  4. Step 4: Simplify right side
    128.34x = 18,140.63
  5. Step 5: Solve for x
    x = 18,140.63/128.34
  6. Step 6: Final answer
    x = 141.35

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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.