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Finding the Fourth Proportional to 49.33, 68.10 and 35.53

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Solution

The fourth proportional to 49.33, 68.10 and 35.53 is: 49.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.33 : 68.10 = 35.53 : x
  2. Step 2: Convert to fraction form
    49.33/68.10 = 35.53/x
  3. Step 3: Cross multiply
    49.33x = 68.10 × 35.53
  4. Step 4: Simplify right side
    49.33x = 2,419.42
  5. Step 5: Solve for x
    x = 2,419.42/49.33
  6. Step 6: Final answer
    x = 49.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.