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Finding the Fourth Proportional to 42.33, 63.21 and 35.57

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Solution

The fourth proportional to 42.33, 63.21 and 35.57 is: 53.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.33 : 63.21 = 35.57 : x
  2. Step 2: Convert to fraction form
    42.33/63.21 = 35.57/x
  3. Step 3: Cross multiply
    42.33x = 63.21 × 35.57
  4. Step 4: Simplify right side
    42.33x = 2,248.38
  5. Step 5: Solve for x
    x = 2,248.38/42.33
  6. Step 6: Final answer
    x = 53.12

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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.