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Finding the Fourth Proportional to 126.47, 174.47 and 85.05

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Solution

The fourth proportional to 126.47, 174.47 and 85.05 is: 117.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.47 : 174.47 = 85.05 : x
  2. Step 2: Convert to fraction form
    126.47/174.47 = 85.05/x
  3. Step 3: Cross multiply
    126.47x = 174.47 × 85.05
  4. Step 4: Simplify right side
    126.47x = 14,838.37
  5. Step 5: Solve for x
    x = 14,838.37/126.47
  6. Step 6: Final answer
    x = 117.32

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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.