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Finding the Fourth Proportional to 108.24, 161.52 and 106.56

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Solution

The fourth proportional to 108.24, 161.52 and 106.56 is: 159.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.24 : 161.52 = 106.56 : x
  2. Step 2: Convert to fraction form
    108.24/161.52 = 106.56/x
  3. Step 3: Cross multiply
    108.24x = 161.52 × 106.56
  4. Step 4: Simplify right side
    108.24x = 17,211.57
  5. Step 5: Solve for x
    x = 17,211.57/108.24
  6. Step 6: Final answer
    x = 159.01

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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.