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Finding the Fourth Proportional to 48.53, 67.01 and 37.70

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Solution

The fourth proportional to 48.53, 67.01 and 37.70 is: 52.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.53 : 67.01 = 37.70 : x
  2. Step 2: Convert to fraction form
    48.53/67.01 = 37.70/x
  3. Step 3: Cross multiply
    48.53x = 67.01 × 37.70
  4. Step 4: Simplify right side
    48.53x = 2,525.75
  5. Step 5: Solve for x
    x = 2,525.75/48.53
  6. Step 6: Final answer
    x = 52.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.