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Finding the Fourth Proportional to 126.96, 174.82 and 117.77

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Solution

The fourth proportional to 126.96, 174.82 and 117.77 is: 162.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.96 : 174.82 = 117.77 : x
  2. Step 2: Convert to fraction form
    126.96/174.82 = 117.77/x
  3. Step 3: Cross multiply
    126.96x = 174.82 × 117.77
  4. Step 4: Simplify right side
    126.96x = 20,588.55
  5. Step 5: Solve for x
    x = 20,588.55/126.96
  6. Step 6: Final answer
    x = 162.17

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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.