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Finding the Fourth Proportional to 34.66, 47.58 and 32.86

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Solution

The fourth proportional to 34.66, 47.58 and 32.86 is: 45.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.66 : 47.58 = 32.86 : x
  2. Step 2: Convert to fraction form
    34.66/47.58 = 32.86/x
  3. Step 3: Cross multiply
    34.66x = 47.58 × 32.86
  4. Step 4: Simplify right side
    34.66x = 1,563.31
  5. Step 5: Solve for x
    x = 1,563.31/34.66
  6. Step 6: Final answer
    x = 45.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.