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Finding the Fourth Proportional to 48.31, 72.53 and 47.80

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Solution

The fourth proportional to 48.31, 72.53 and 47.80 is: 71.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.31 : 72.53 = 47.80 : x
  2. Step 2: Convert to fraction form
    48.31/72.53 = 47.80/x
  3. Step 3: Cross multiply
    48.31x = 72.53 × 47.80
  4. Step 4: Simplify right side
    48.31x = 3,466.93
  5. Step 5: Solve for x
    x = 3,466.93/48.31
  6. Step 6: Final answer
    x = 71.76

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Why These Related Problems?

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