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Finding the Fourth Proportional to 72.90, 109.21 and 40.74

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Solution

The fourth proportional to 72.90, 109.21 and 40.74 is: 61.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.90 : 109.21 = 40.74 : x
  2. Step 2: Convert to fraction form
    72.90/109.21 = 40.74/x
  3. Step 3: Cross multiply
    72.90x = 109.21 × 40.74
  4. Step 4: Simplify right side
    72.90x = 4,449.22
  5. Step 5: Solve for x
    x = 4,449.22/72.90
  6. Step 6: Final answer
    x = 61.03

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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.