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Finding the Fourth Proportional to 105.39, 157.67 and 88.17

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Solution

The fourth proportional to 105.39, 157.67 and 88.17 is: 131.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.39 : 157.67 = 88.17 : x
  2. Step 2: Convert to fraction form
    105.39/157.67 = 88.17/x
  3. Step 3: Cross multiply
    105.39x = 157.67 × 88.17
  4. Step 4: Simplify right side
    105.39x = 13,901.32
  5. Step 5: Solve for x
    x = 13,901.32/105.39
  6. Step 6: Final answer
    x = 131.90

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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.