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Finding the Fourth Proportional to 126.71, 174.85 and 71.45

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Solution

The fourth proportional to 126.71, 174.85 and 71.45 is: 98.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.71 : 174.85 = 71.45 : x
  2. Step 2: Convert to fraction form
    126.71/174.85 = 71.45/x
  3. Step 3: Cross multiply
    126.71x = 174.85 × 71.45
  4. Step 4: Simplify right side
    126.71x = 12,493.03
  5. Step 5: Solve for x
    x = 12,493.03/126.71
  6. Step 6: Final answer
    x = 98.60

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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.