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Finding the Fourth Proportional to 70.74, 106.14 and 32.25

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Solution

The fourth proportional to 70.74, 106.14 and 32.25 is: 48.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.74 : 106.14 = 32.25 : x
  2. Step 2: Convert to fraction form
    70.74/106.14 = 32.25/x
  3. Step 3: Cross multiply
    70.74x = 106.14 × 32.25
  4. Step 4: Simplify right side
    70.74x = 3,423.02
  5. Step 5: Solve for x
    x = 3,423.02/70.74
  6. Step 6: Final answer
    x = 48.39

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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.