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Finding the Fourth Proportional to 106.91, 160.40 and 70.34

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Solution

The fourth proportional to 106.91, 160.40 and 70.34 is: 105.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.91 : 160.40 = 70.34 : x
  2. Step 2: Convert to fraction form
    106.91/160.40 = 70.34/x
  3. Step 3: Cross multiply
    106.91x = 160.40 × 70.34
  4. Step 4: Simplify right side
    106.91x = 11,282.59
  5. Step 5: Solve for x
    x = 11,282.59/106.91
  6. Step 6: Final answer
    x = 105.53

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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.