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Finding the Fourth Proportional to 108.37, 162.07 and 106.45

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Solution

The fourth proportional to 108.37, 162.07 and 106.45 is: 159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.37 : 162.07 = 106.45 : x
  2. Step 2: Convert to fraction form
    108.37/162.07 = 106.45/x
  3. Step 3: Cross multiply
    108.37x = 162.07 × 106.45
  4. Step 4: Simplify right side
    108.37x = 17,252.35
  5. Step 5: Solve for x
    x = 17,252.35/108.37
  6. Step 6: Final answer
    x = 159.20

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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.