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Finding the Fourth Proportional to 108.18, 162.18 and 99.64

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Solution

The fourth proportional to 108.18, 162.18 and 99.64 is: 149.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.18 : 162.18 = 99.64 : x
  2. Step 2: Convert to fraction form
    108.18/162.18 = 99.64/x
  3. Step 3: Cross multiply
    108.18x = 162.18 × 99.64
  4. Step 4: Simplify right side
    108.18x = 16,159.62
  5. Step 5: Solve for x
    x = 16,159.62/108.18
  6. Step 6: Final answer
    x = 149.38

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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.