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Finding the Fourth Proportional to 48.18, 72.20 and 37.46

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Solution

The fourth proportional to 48.18, 72.20 and 37.46 is: 56.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.18 : 72.20 = 37.46 : x
  2. Step 2: Convert to fraction form
    48.18/72.20 = 37.46/x
  3. Step 3: Cross multiply
    48.18x = 72.20 × 37.46
  4. Step 4: Simplify right side
    48.18x = 2,704.61
  5. Step 5: Solve for x
    x = 2,704.61/48.18
  6. Step 6: Final answer
    x = 56.14

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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.