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Finding the Fourth Proportional to 70.56, 97.52 and 54.24

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Solution

The fourth proportional to 70.56, 97.52 and 54.24 is: 74.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.56 : 97.52 = 54.24 : x
  2. Step 2: Convert to fraction form
    70.56/97.52 = 54.24/x
  3. Step 3: Cross multiply
    70.56x = 97.52 × 54.24
  4. Step 4: Simplify right side
    70.56x = 5,289.48
  5. Step 5: Solve for x
    x = 5,289.48/70.56
  6. Step 6: Final answer
    x = 74.96

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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.