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Finding the Fourth Proportional to 105.31, 158.13 and 90.25

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Solution

The fourth proportional to 105.31, 158.13 and 90.25 is: 135.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.31 : 158.13 = 90.25 : x
  2. Step 2: Convert to fraction form
    105.31/158.13 = 90.25/x
  3. Step 3: Cross multiply
    105.31x = 158.13 × 90.25
  4. Step 4: Simplify right side
    105.31x = 14,271.23
  5. Step 5: Solve for x
    x = 14,271.23/105.31
  6. Step 6: Final answer
    x = 135.52

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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.