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Finding the Fourth Proportional to 109.10, 162.77 and 97.56

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Solution

The fourth proportional to 109.10, 162.77 and 97.56 is: 145.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.10 : 162.77 = 97.56 : x
  2. Step 2: Convert to fraction form
    109.10/162.77 = 97.56/x
  3. Step 3: Cross multiply
    109.10x = 162.77 × 97.56
  4. Step 4: Simplify right side
    109.10x = 15,879.03
  5. Step 5: Solve for x
    x = 15,879.03/109.10
  6. Step 6: Final answer
    x = 145.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.