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Finding the Fourth Proportional to 49.68, 74.36 and 31.58

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Solution

The fourth proportional to 49.68, 74.36 and 31.58 is: 47.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.68 : 74.36 = 31.58 : x
  2. Step 2: Convert to fraction form
    49.68/74.36 = 31.58/x
  3. Step 3: Cross multiply
    49.68x = 74.36 × 31.58
  4. Step 4: Simplify right side
    49.68x = 2,348.29
  5. Step 5: Solve for x
    x = 2,348.29/49.68
  6. Step 6: Final answer
    x = 47.27

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