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Finding the Fourth Proportional to 48.44, 72.32 and 42.07

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Solution

The fourth proportional to 48.44, 72.32 and 42.07 is: 62.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.44 : 72.32 = 42.07 : x
  2. Step 2: Convert to fraction form
    48.44/72.32 = 42.07/x
  3. Step 3: Cross multiply
    48.44x = 72.32 × 42.07
  4. Step 4: Simplify right side
    48.44x = 3,042.29
  5. Step 5: Solve for x
    x = 3,042.29/48.44
  6. Step 6: Final answer
    x = 62.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.