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Finding the Fourth Proportional to 71.10, 106.65 and 32.64

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Solution

The fourth proportional to 71.10, 106.65 and 32.64 is: 48.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.10 : 106.65 = 32.64 : x
  2. Step 2: Convert to fraction form
    71.10/106.65 = 32.64/x
  3. Step 3: Cross multiply
    71.10x = 106.65 × 32.64
  4. Step 4: Simplify right side
    71.10x = 3,481.06
  5. Step 5: Solve for x
    x = 3,481.06/71.10
  6. Step 6: Final answer
    x = 48.96

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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.