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Finding the Fourth Proportional to 126.12, 174.06 and 70.88

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Solution

The fourth proportional to 126.12, 174.06 and 70.88 is: 97.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.12 : 174.06 = 70.88 : x
  2. Step 2: Convert to fraction form
    126.12/174.06 = 70.88/x
  3. Step 3: Cross multiply
    126.12x = 174.06 × 70.88
  4. Step 4: Simplify right side
    126.12x = 12,337.37
  5. Step 5: Solve for x
    x = 12,337.37/126.12
  6. Step 6: Final answer
    x = 97.82

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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.