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Finding the Fourth Proportional to 108.30, 162.30 and 53.37

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Solution

The fourth proportional to 108.30, 162.30 and 53.37 is: 79.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.30 : 162.30 = 53.37 : x
  2. Step 2: Convert to fraction form
    108.30/162.30 = 53.37/x
  3. Step 3: Cross multiply
    108.30x = 162.30 × 53.37
  4. Step 4: Simplify right side
    108.30x = 8,661.95
  5. Step 5: Solve for x
    x = 8,661.95/108.30
  6. Step 6: Final answer
    x = 79.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.