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Finding the Fourth Proportional to 32.10, 48.41 and 31.76

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Solution

The fourth proportional to 32.10, 48.41 and 31.76 is: 47.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.10 : 48.41 = 31.76 : x
  2. Step 2: Convert to fraction form
    32.10/48.41 = 31.76/x
  3. Step 3: Cross multiply
    32.10x = 48.41 × 31.76
  4. Step 4: Simplify right side
    32.10x = 1,537.10
  5. Step 5: Solve for x
    x = 1,537.10/32.10
  6. Step 6: Final answer
    x = 47.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.