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Finding the Fourth Proportional to 122.84, 169.50 and 70.37

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Solution

The fourth proportional to 122.84, 169.50 and 70.37 is: 97.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.84 : 169.50 = 70.37 : x
  2. Step 2: Convert to fraction form
    122.84/169.50 = 70.37/x
  3. Step 3: Cross multiply
    122.84x = 169.50 × 70.37
  4. Step 4: Simplify right side
    122.84x = 11,927.72
  5. Step 5: Solve for x
    x = 11,927.72/122.84
  6. Step 6: Final answer
    x = 97.10

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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.