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Finding the Fourth Proportional to 108.05, 162.07 and 53.14

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Solution

The fourth proportional to 108.05, 162.07 and 53.14 is: 79.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.05 : 162.07 = 53.14 : x
  2. Step 2: Convert to fraction form
    108.05/162.07 = 53.14/x
  3. Step 3: Cross multiply
    108.05x = 162.07 × 53.14
  4. Step 4: Simplify right side
    108.05x = 8,612.40
  5. Step 5: Solve for x
    x = 8,612.40/108.05
  6. Step 6: Final answer
    x = 79.71

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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.