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Finding the Fourth Proportional to 108.19, 162.25 and 43.19

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Solution

The fourth proportional to 108.19, 162.25 and 43.19 is: 64.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.19 : 162.25 = 43.19 : x
  2. Step 2: Convert to fraction form
    108.19/162.25 = 43.19/x
  3. Step 3: Cross multiply
    108.19x = 162.25 × 43.19
  4. Step 4: Simplify right side
    108.19x = 7,007.58
  5. Step 5: Solve for x
    x = 7,007.58/108.19
  6. Step 6: Final answer
    x = 64.77

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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.