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Finding the Fourth Proportional to 34.75, 48.06 and 32.83

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Solution

The fourth proportional to 34.75, 48.06 and 32.83 is: 45.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.75 : 48.06 = 32.83 : x
  2. Step 2: Convert to fraction form
    34.75/48.06 = 32.83/x
  3. Step 3: Cross multiply
    34.75x = 48.06 × 32.83
  4. Step 4: Simplify right side
    34.75x = 1,577.81
  5. Step 5: Solve for x
    x = 1,577.81/34.75
  6. Step 6: Final answer
    x = 45.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.