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Finding the Fourth Proportional to 31.96, 48.00 and 30.52

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Solution

The fourth proportional to 31.96, 48.00 and 30.52 is: 45.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.96 : 48.00 = 30.52 : x
  2. Step 2: Convert to fraction form
    31.96/48.00 = 30.52/x
  3. Step 3: Cross multiply
    31.96x = 48.00 × 30.52
  4. Step 4: Simplify right side
    31.96x = 1,465.13
  5. Step 5: Solve for x
    x = 1,465.13/31.96
  6. Step 6: Final answer
    x = 45.84

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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.