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Finding the Fourth Proportional to 34.42, 51.71 and 32.14

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Solution

The fourth proportional to 34.42, 51.71 and 32.14 is: 48.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.42 : 51.71 = 32.14 : x
  2. Step 2: Convert to fraction form
    34.42/51.71 = 32.14/x
  3. Step 3: Cross multiply
    34.42x = 51.71 × 32.14
  4. Step 4: Simplify right side
    34.42x = 1,661.96
  5. Step 5: Solve for x
    x = 1,661.96/34.42
  6. Step 6: Final answer
    x = 48.28

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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.