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Finding the Fourth Proportional to 108.56, 162.36 and 106.64

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Solution

The fourth proportional to 108.56, 162.36 and 106.64 is: 159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.56 : 162.36 = 106.64 : x
  2. Step 2: Convert to fraction form
    108.56/162.36 = 106.64/x
  3. Step 3: Cross multiply
    108.56x = 162.36 × 106.64
  4. Step 4: Simplify right side
    108.56x = 17,314.07
  5. Step 5: Solve for x
    x = 17,314.07/108.56
  6. Step 6: Final answer
    x = 159.49

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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.