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Finding the Fourth Proportional to 70.91, 106.46 and 34.87

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Solution

The fourth proportional to 70.91, 106.46 and 34.87 is: 52.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.91 : 106.46 = 34.87 : x
  2. Step 2: Convert to fraction form
    70.91/106.46 = 34.87/x
  3. Step 3: Cross multiply
    70.91x = 106.46 × 34.87
  4. Step 4: Simplify right side
    70.91x = 3,712.26
  5. Step 5: Solve for x
    x = 3,712.26/70.91
  6. Step 6: Final answer
    x = 52.35

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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.