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Finding the Fourth Proportional to 55.34, 83.05 and 35.06

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Solution

The fourth proportional to 55.34, 83.05 and 35.06 is: 52.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.34 : 83.05 = 35.06 : x
  2. Step 2: Convert to fraction form
    55.34/83.05 = 35.06/x
  3. Step 3: Cross multiply
    55.34x = 83.05 × 35.06
  4. Step 4: Simplify right side
    55.34x = 2,911.85
  5. Step 5: Solve for x
    x = 2,911.85/55.34
  6. Step 6: Final answer
    x = 52.62

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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.