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Finding the Fourth Proportional to 112.92, 169.50 and 70.26

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Solution

The fourth proportional to 112.92, 169.50 and 70.26 is: 105.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.92 : 169.50 = 70.26 : x
  2. Step 2: Convert to fraction form
    112.92/169.50 = 70.26/x
  3. Step 3: Cross multiply
    112.92x = 169.50 × 70.26
  4. Step 4: Simplify right side
    112.92x = 11,909.07
  5. Step 5: Solve for x
    x = 11,909.07/112.92
  6. Step 6: Final answer
    x = 105.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.