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Finding the Fourth Proportional to 70.62, 106.10 and 59.90

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Solution

The fourth proportional to 70.62, 106.10 and 59.90 is: 89.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.62 : 106.10 = 59.90 : x
  2. Step 2: Convert to fraction form
    70.62/106.10 = 59.90/x
  3. Step 3: Cross multiply
    70.62x = 106.10 × 59.90
  4. Step 4: Simplify right side
    70.62x = 6,355.39
  5. Step 5: Solve for x
    x = 6,355.39/70.62
  6. Step 6: Final answer
    x = 89.99

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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.