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Finding the Fourth Proportional to 129.13, 177.78 and 110.42

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Solution

The fourth proportional to 129.13, 177.78 and 110.42 is: 152.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.13 : 177.78 = 110.42 : x
  2. Step 2: Convert to fraction form
    129.13/177.78 = 110.42/x
  3. Step 3: Cross multiply
    129.13x = 177.78 × 110.42
  4. Step 4: Simplify right side
    129.13x = 19,630.47
  5. Step 5: Solve for x
    x = 19,630.47/129.13
  6. Step 6: Final answer
    x = 152.03

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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.