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Finding the Fourth Proportional to 72.96, 100.47 and 54.50

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Solution

The fourth proportional to 72.96, 100.47 and 54.50 is: 75.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.96 : 100.47 = 54.50 : x
  2. Step 2: Convert to fraction form
    72.96/100.47 = 54.50/x
  3. Step 3: Cross multiply
    72.96x = 100.47 × 54.50
  4. Step 4: Simplify right side
    72.96x = 5,475.78
  5. Step 5: Solve for x
    x = 5,475.78/72.96
  6. Step 6: Final answer
    x = 75.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.