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Finding the Fourth Proportional to 71.68, 107.54 and 37.46

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Solution

The fourth proportional to 71.68, 107.54 and 37.46 is: 56.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.68 : 107.54 = 37.46 : x
  2. Step 2: Convert to fraction form
    71.68/107.54 = 37.46/x
  3. Step 3: Cross multiply
    71.68x = 107.54 × 37.46
  4. Step 4: Simplify right side
    71.68x = 4,028.67
  5. Step 5: Solve for x
    x = 4,028.67/71.68
  6. Step 6: Final answer
    x = 56.20

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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.