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Finding the Fourth Proportional to 32.10, 48.14 and 20.68

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Solution

The fourth proportional to 32.10, 48.14 and 20.68 is: 31.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.10 : 48.14 = 20.68 : x
  2. Step 2: Convert to fraction form
    32.10/48.14 = 20.68/x
  3. Step 3: Cross multiply
    32.10x = 48.14 × 20.68
  4. Step 4: Simplify right side
    32.10x = 995.54
  5. Step 5: Solve for x
    x = 995.54/32.10
  6. Step 6: Final answer
    x = 31.01

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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.