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Finding the Fourth Proportional to 72.69, 108.90 and 52.30

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Solution

The fourth proportional to 72.69, 108.90 and 52.30 is: 78.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.69 : 108.90 = 52.30 : x
  2. Step 2: Convert to fraction form
    72.69/108.90 = 52.30/x
  3. Step 3: Cross multiply
    72.69x = 108.90 × 52.30
  4. Step 4: Simplify right side
    72.69x = 5,695.47
  5. Step 5: Solve for x
    x = 5,695.47/72.69
  6. Step 6: Final answer
    x = 78.35

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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.