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Finding the Fourth Proportional to 106.96, 159.12 and 106.60

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Solution

The fourth proportional to 106.96, 159.12 and 106.60 is: 158.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.96 : 159.12 = 106.60 : x
  2. Step 2: Convert to fraction form
    106.96/159.12 = 106.60/x
  3. Step 3: Cross multiply
    106.96x = 159.12 × 106.60
  4. Step 4: Simplify right side
    106.96x = 16,962.19
  5. Step 5: Solve for x
    x = 16,962.19/106.96
  6. Step 6: Final answer
    x = 158.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.