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Finding the Fourth Proportional to 35.31, 48.66 and 29.84

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Solution

The fourth proportional to 35.31, 48.66 and 29.84 is: 41.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.31 : 48.66 = 29.84 : x
  2. Step 2: Convert to fraction form
    35.31/48.66 = 29.84/x
  3. Step 3: Cross multiply
    35.31x = 48.66 × 29.84
  4. Step 4: Simplify right side
    35.31x = 1,451.77
  5. Step 5: Solve for x
    x = 1,451.77/35.31
  6. Step 6: Final answer
    x = 41.12

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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.