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Finding the Fourth Proportional to 135.24, 202.68 and 70.14

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Solution

The fourth proportional to 135.24, 202.68 and 70.14 is: 105.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.24 : 202.68 = 70.14 : x
  2. Step 2: Convert to fraction form
    135.24/202.68 = 70.14/x
  3. Step 3: Cross multiply
    135.24x = 202.68 × 70.14
  4. Step 4: Simplify right side
    135.24x = 14,215.98
  5. Step 5: Solve for x
    x = 14,215.98/135.24
  6. Step 6: Final answer
    x = 105.12

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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.