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Finding the Fourth Proportional to 122.50, 169.01 and 70.04

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Solution

The fourth proportional to 122.50, 169.01 and 70.04 is: 96.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.50 : 169.01 = 70.04 : x
  2. Step 2: Convert to fraction form
    122.50/169.01 = 70.04/x
  3. Step 3: Cross multiply
    122.50x = 169.01 × 70.04
  4. Step 4: Simplify right side
    122.50x = 11,837.46
  5. Step 5: Solve for x
    x = 11,837.46/122.50
  6. Step 6: Final answer
    x = 96.63

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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.