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Finding the Fourth Proportional to 108.80, 162.34 and 106.04

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Solution

The fourth proportional to 108.80, 162.34 and 106.04 is: 158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.80 : 162.34 = 106.04 : x
  2. Step 2: Convert to fraction form
    108.80/162.34 = 106.04/x
  3. Step 3: Cross multiply
    108.80x = 162.34 × 106.04
  4. Step 4: Simplify right side
    108.80x = 17,214.53
  5. Step 5: Solve for x
    x = 17,214.53/108.80
  6. Step 6: Final answer
    x = 158.22

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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.