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Finding the Fourth Proportional to 48.29, 72.29 and 31.12

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Solution

The fourth proportional to 48.29, 72.29 and 31.12 is: 46.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.29 : 72.29 = 31.12 : x
  2. Step 2: Convert to fraction form
    48.29/72.29 = 31.12/x
  3. Step 3: Cross multiply
    48.29x = 72.29 × 31.12
  4. Step 4: Simplify right side
    48.29x = 2,249.77
  5. Step 5: Solve for x
    x = 2,249.77/48.29
  6. Step 6: Final answer
    x = 46.59

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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.