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Finding the Fourth Proportional to 70.67, 106.05 and 32.15

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Solution

The fourth proportional to 70.67, 106.05 and 32.15 is: 48.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.67 : 106.05 = 32.15 : x
  2. Step 2: Convert to fraction form
    70.67/106.05 = 32.15/x
  3. Step 3: Cross multiply
    70.67x = 106.05 × 32.15
  4. Step 4: Simplify right side
    70.67x = 3,409.51
  5. Step 5: Solve for x
    x = 3,409.51/70.67
  6. Step 6: Final answer
    x = 48.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.