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Finding the Fourth Proportional to 70.89, 106.15 and 59.42

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Solution

The fourth proportional to 70.89, 106.15 and 59.42 is: 88.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.89 : 106.15 = 59.42 : x
  2. Step 2: Convert to fraction form
    70.89/106.15 = 59.42/x
  3. Step 3: Cross multiply
    70.89x = 106.15 × 59.42
  4. Step 4: Simplify right side
    70.89x = 6,307.43
  5. Step 5: Solve for x
    x = 6,307.43/70.89
  6. Step 6: Final answer
    x = 88.97

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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.