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Finding the Fourth Proportional to 70.65, 106.00 and 32.13

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Solution

The fourth proportional to 70.65, 106.00 and 32.13 is: 48.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.65 : 106.00 = 32.13 : x
  2. Step 2: Convert to fraction form
    70.65/106.00 = 32.13/x
  3. Step 3: Cross multiply
    70.65x = 106.00 × 32.13
  4. Step 4: Simplify right side
    70.65x = 3,405.70
  5. Step 5: Solve for x
    x = 3,405.70/70.65
  6. Step 6: Final answer
    x = 48.21

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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.