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Finding the Fourth Proportional to 55.32, 82.99 and 48.60

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Solution

The fourth proportional to 55.32, 82.99 and 48.60 is: 72.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.32 : 82.99 = 48.60 : x
  2. Step 2: Convert to fraction form
    55.32/82.99 = 48.60/x
  3. Step 3: Cross multiply
    55.32x = 82.99 × 48.60
  4. Step 4: Simplify right side
    55.32x = 4,033.37
  5. Step 5: Solve for x
    x = 4,033.37/55.32
  6. Step 6: Final answer
    x = 72.91

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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.