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Finding the Fourth Proportional to 59.72, 89.24 and 48.16

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Solution

The fourth proportional to 59.72, 89.24 and 48.16 is: 71.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.72 : 89.24 = 48.16 : x
  2. Step 2: Convert to fraction form
    59.72/89.24 = 48.16/x
  3. Step 3: Cross multiply
    59.72x = 89.24 × 48.16
  4. Step 4: Simplify right side
    59.72x = 4,297.80
  5. Step 5: Solve for x
    x = 4,297.80/59.72
  6. Step 6: Final answer
    x = 71.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.