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Finding the Fourth Proportional to 32.83, 48.97 and 31.64

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Solution

The fourth proportional to 32.83, 48.97 and 31.64 is: 47.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.83 : 48.97 = 31.64 : x
  2. Step 2: Convert to fraction form
    32.83/48.97 = 31.64/x
  3. Step 3: Cross multiply
    32.83x = 48.97 × 31.64
  4. Step 4: Simplify right side
    32.83x = 1,549.70
  5. Step 5: Solve for x
    x = 1,549.70/32.83
  6. Step 6: Final answer
    x = 47.21

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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.