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Finding the Fourth Proportional to 105.35, 157.88 and 51.14

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Solution

The fourth proportional to 105.35, 157.88 and 51.14 is: 76.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.35 : 157.88 = 51.14 : x
  2. Step 2: Convert to fraction form
    105.35/157.88 = 51.14/x
  3. Step 3: Cross multiply
    105.35x = 157.88 × 51.14
  4. Step 4: Simplify right side
    105.35x = 8,074.51
  5. Step 5: Solve for x
    x = 8,074.51/105.35
  6. Step 6: Final answer
    x = 76.65

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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.