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Finding the Fourth Proportional to 72.81, 109.16 and 42.35

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Solution

The fourth proportional to 72.81, 109.16 and 42.35 is: 63.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.81 : 109.16 = 42.35 : x
  2. Step 2: Convert to fraction form
    72.81/109.16 = 42.35/x
  3. Step 3: Cross multiply
    72.81x = 109.16 × 42.35
  4. Step 4: Simplify right side
    72.81x = 4,622.33
  5. Step 5: Solve for x
    x = 4,622.33/72.81
  6. Step 6: Final answer
    x = 63.48

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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.