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Finding the Fourth Proportional to 32.83, 48.96 and 31.31

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Solution

The fourth proportional to 32.83, 48.96 and 31.31 is: 46.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.83 : 48.96 = 31.31 : x
  2. Step 2: Convert to fraction form
    32.83/48.96 = 31.31/x
  3. Step 3: Cross multiply
    32.83x = 48.96 × 31.31
  4. Step 4: Simplify right side
    32.83x = 1,533.14
  5. Step 5: Solve for x
    x = 1,533.14/32.83
  6. Step 6: Final answer
    x = 46.70

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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.