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Finding the Fourth Proportional to 34.57, 51.60 and 32.19

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Solution

The fourth proportional to 34.57, 51.60 and 32.19 is: 48.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.57 : 51.60 = 32.19 : x
  2. Step 2: Convert to fraction form
    34.57/51.60 = 32.19/x
  3. Step 3: Cross multiply
    34.57x = 51.60 × 32.19
  4. Step 4: Simplify right side
    34.57x = 1,661.00
  5. Step 5: Solve for x
    x = 1,661.00/34.57
  6. Step 6: Final answer
    x = 48.05

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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.