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Finding the Fourth Proportional to 70.90, 106.42 and 38.42

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Solution

The fourth proportional to 70.90, 106.42 and 38.42 is: 57.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.90 : 106.42 = 38.42 : x
  2. Step 2: Convert to fraction form
    70.90/106.42 = 38.42/x
  3. Step 3: Cross multiply
    70.90x = 106.42 × 38.42
  4. Step 4: Simplify right side
    70.90x = 4,088.03
  5. Step 5: Solve for x
    x = 4,088.03/70.90
  6. Step 6: Final answer
    x = 57.66

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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.