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Finding the Fourth Proportional to 32.31, 48.10 and 32.13

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Solution

The fourth proportional to 32.31, 48.10 and 32.13 is: 47.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.31 : 48.10 = 32.13 : x
  2. Step 2: Convert to fraction form
    32.31/48.10 = 32.13/x
  3. Step 3: Cross multiply
    32.31x = 48.10 × 32.13
  4. Step 4: Simplify right side
    32.31x = 1,545.37
  5. Step 5: Solve for x
    x = 1,545.37/32.31
  6. Step 6: Final answer
    x = 47.83

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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.