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Finding the Fourth Proportional to 35.12, 52.44 and 31.08

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Solution

The fourth proportional to 35.12, 52.44 and 31.08 is: 46.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.12 : 52.44 = 31.08 : x
  2. Step 2: Convert to fraction form
    35.12/52.44 = 31.08/x
  3. Step 3: Cross multiply
    35.12x = 52.44 × 31.08
  4. Step 4: Simplify right side
    35.12x = 1,629.84
  5. Step 5: Solve for x
    x = 1,629.84/35.12
  6. Step 6: Final answer
    x = 46.41

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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.