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Finding the Fourth Proportional to 55.36, 83 and 35.04

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Solution

The fourth proportional to 55.36, 83 and 35.04 is: 52.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.36 : 83 = 35.04 : x
  2. Step 2: Convert to fraction form
    55.36/83 = 35.04/x
  3. Step 3: Cross multiply
    55.36x = 83 × 35.04
  4. Step 4: Simplify right side
    55.36x = 2,908.32
  5. Step 5: Solve for x
    x = 2,908.32/55.36
  6. Step 6: Final answer
    x = 52.53

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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.