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Finding the Fourth Proportional to 48.70, 67.13 and 37.77

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Solution

The fourth proportional to 48.70, 67.13 and 37.77 is: 52.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.70 : 67.13 = 37.77 : x
  2. Step 2: Convert to fraction form
    48.70/67.13 = 37.77/x
  3. Step 3: Cross multiply
    48.70x = 67.13 × 37.77
  4. Step 4: Simplify right side
    48.70x = 2,535.50
  5. Step 5: Solve for x
    x = 2,535.50/48.70
  6. Step 6: Final answer
    x = 52.06

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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.