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Finding the Fourth Proportional to 105.14, 157.69 and 28.08

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Solution

The fourth proportional to 105.14, 157.69 and 28.08 is: 42.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.14 : 157.69 = 28.08 : x
  2. Step 2: Convert to fraction form
    105.14/157.69 = 28.08/x
  3. Step 3: Cross multiply
    105.14x = 157.69 × 28.08
  4. Step 4: Simplify right side
    105.14x = 4,428.11
  5. Step 5: Solve for x
    x = 4,428.11/105.14
  6. Step 6: Final answer
    x = 42.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.