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Finding the Fourth Proportional to 108.82, 162.51 and 102.89

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Solution

The fourth proportional to 108.82, 162.51 and 102.89 is: 153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.82 : 162.51 = 102.89 : x
  2. Step 2: Convert to fraction form
    108.82/162.51 = 102.89/x
  3. Step 3: Cross multiply
    108.82x = 162.51 × 102.89
  4. Step 4: Simplify right side
    108.82x = 16,720.55
  5. Step 5: Solve for x
    x = 16,720.55/108.82
  6. Step 6: Final answer
    x = 153.66

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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.