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Finding the Fourth Proportional to 108.66, 162.23 and 89.34

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Solution

The fourth proportional to 108.66, 162.23 and 89.34 is: 133.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.66 : 162.23 = 89.34 : x
  2. Step 2: Convert to fraction form
    108.66/162.23 = 89.34/x
  3. Step 3: Cross multiply
    108.66x = 162.23 × 89.34
  4. Step 4: Simplify right side
    108.66x = 14,493.63
  5. Step 5: Solve for x
    x = 14,493.63/108.66
  6. Step 6: Final answer
    x = 133.39

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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.