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Finding the Fourth Proportional to 90.65, 135.68 and 70.13

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Solution

The fourth proportional to 90.65, 135.68 and 70.13 is: 104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.65 : 135.68 = 70.13 : x
  2. Step 2: Convert to fraction form
    90.65/135.68 = 70.13/x
  3. Step 3: Cross multiply
    90.65x = 135.68 × 70.13
  4. Step 4: Simplify right side
    90.65x = 9,515.23
  5. Step 5: Solve for x
    x = 9,515.23/90.65
  6. Step 6: Final answer
    x = 104.96

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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.