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Finding the Fourth Proportional to 71.12, 106.62 and 32.08

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Solution

The fourth proportional to 71.12, 106.62 and 32.08 is: 48.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.12 : 106.62 = 32.08 : x
  2. Step 2: Convert to fraction form
    71.12/106.62 = 32.08/x
  3. Step 3: Cross multiply
    71.12x = 106.62 × 32.08
  4. Step 4: Simplify right side
    71.12x = 3,420.37
  5. Step 5: Solve for x
    x = 3,420.37/71.12
  6. Step 6: Final answer
    x = 48.09

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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.