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Finding the Fourth Proportional to 90.87, 136.38 and 70.72

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Solution

The fourth proportional to 90.87, 136.38 and 70.72 is: 106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.87 : 136.38 = 70.72 : x
  2. Step 2: Convert to fraction form
    90.87/136.38 = 70.72/x
  3. Step 3: Cross multiply
    90.87x = 136.38 × 70.72
  4. Step 4: Simplify right side
    90.87x = 9,645.48
  5. Step 5: Solve for x
    x = 9,645.48/90.87
  6. Step 6: Final answer
    x = 106.14

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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.