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Finding the Fourth Proportional to 142.15, 212.83 and 90.67

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Solution

The fourth proportional to 142.15, 212.83 and 90.67 is: 135.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.15 : 212.83 = 90.67 : x
  2. Step 2: Convert to fraction form
    142.15/212.83 = 90.67/x
  3. Step 3: Cross multiply
    142.15x = 212.83 × 90.67
  4. Step 4: Simplify right side
    142.15x = 19,296.04
  5. Step 5: Solve for x
    x = 19,296.04/142.15
  6. Step 6: Final answer
    x = 135.74

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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.