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Finding the Fourth Proportional to 55.81, 83.70 and 35.24

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Solution

The fourth proportional to 55.81, 83.70 and 35.24 is: 52.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.81 : 83.70 = 35.24 : x
  2. Step 2: Convert to fraction form
    55.81/83.70 = 35.24/x
  3. Step 3: Cross multiply
    55.81x = 83.70 × 35.24
  4. Step 4: Simplify right side
    55.81x = 2,949.17
  5. Step 5: Solve for x
    x = 2,949.17/55.81
  6. Step 6: Final answer
    x = 52.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.